Adams Memorial Symposium on Algebraic Topology.: Manchester 1990 / 1 :
Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.
Gespeichert in:
Körperschaft: | |
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Weitere Verfasser: | , |
Format: | Elektronisch Tagungsbericht E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©1992.
|
Schriftenreihe: | London Mathematical Society lecture note series ;
175. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology. |
Beschreibung: | 1 online resource (xxiii, 292 pages) : illustrations, portraits. |
Bibliographie: | Includes bibliographical references. |
ISBN: | 9781107361768 1107361761 1139884735 9781139884730 1107366674 9781107366671 1107369509 9781107369504 1299404421 9781299404427 1107364213 9781107364219 |
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245 | 1 | 0 | |a Adams Memorial Symposium on Algebraic Topology. |n 1 : |b Manchester 1990 / |c edited by N. Ray and G. Walker. |
260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©1992. | ||
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490 | 1 | |a London Mathematical Society lecture note series ; |v 175 | |
504 | |a Includes bibliographical references. | ||
588 | 0 | |a Print version record. | |
505 | 0 | |a Cover; Title; Copyright; Contents of Volume 1; Preface; 1 The work of J. F. Adarns; A. The cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem; B. Applications of K-theory; C. Characteristic classes and calculations in K-theory and cobordism; D. Stable homotopy and generalized homology; E. Lectures on Lie groups (1969) [38]; F. Finite H-spaces and compact Lie groups; G. Maps between classifying spaces of compact Lie groups; H. Modules over the Steenrod algebra and their Ext groups | |
505 | 8 | |a I. Miscellaneous papers in homotopy and cohomology theory. Infinite loop spaces(1975 IAS lecture notes) [61]; K. Two unpublished expository papers; Bibliography of J. F. Adams; 2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration; 1. Introduction; 2. Algebraic Preliminaries; 3. Models for twisted tensor products of DGA's; 4. An examination of Brown's equivalence; 5. The Adams-Hilton model for the total space of a fibration; References.; 3 Hochschild homology, cyclic homology, and the cobar construction; Introduction. | |
505 | 8 | |a 5 A splitting result for the second homology group of the general linear group1. Introduction; 2. The second Postnikov section of a double loop space; 3. The naturality of the splitting; References; 6 Low dimensional spinor representations, Adams maps and geometric dimension; 1. Introduction.; 2. Spinor representations.; 3. Proof of Theorems 1, 2 and 3.; 4. An illustrative example.; 5. Constructing the KO-periodic map; References; 7 The characteristic classes for the exceptional Lie groups; 0. Introduction.; 1. The Hopf algebra structure. | |
505 | 8 | |a 2. The Borel theorem and the Eilenberg-Moore spectral sequence.3. The invariant subalgebra of the Weyl group.; 4. The twisted tensor product and the E2-term CotorA{Z/p, Z/p) with A = H*(G; Z/p).; 5. A Z/2-resolution over H*(E8; Z/2).; 6. A Z/3-resolution over H*(Ad E6; Z/3).; References; 8 How can you tell two spaces apart when they have the same n-type for all n?; Example A; Example B; References; 9 A generalized Grothendieck spectral sequence; 1 Introduction; 1.1 Notation; 1.2 Organization; 2 Universal algebras & homotopical algebra; 2.1 universal algebras; 2.1.1 Cuga's | |
520 | |a Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology. | ||
546 | |a English. | ||
600 | 1 | 0 | |a Adams, J. Frank |q (John Frank) |0 http://id.loc.gov/authorities/names/n78069212 |
600 | 1 | 7 | |a Adams, J. Frank |q (John Frank) |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJjxpYGrMGxgQFpqcGtYfq |
650 | 0 | |a Algebraic topology |v Congresses. | |
650 | 6 | |a Topologie algébrique |v Congrès. | |
650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
650 | 7 | |a Algebraic topology |2 fast | |
655 | 7 | |a Conference papers and proceedings |2 fast | |
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adam_text | |
any_adam_object | |
author2 | Walker, G. (Grant) Ray, Nigel, 1945- |
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author_GND | http://id.loc.gov/authorities/names/n93005093 http://id.loc.gov/authorities/names/n77003838 |
author_corporate | Adams Memorial Symposium on Algebraic Topology Manchester, England |
author_corporate_role | |
author_facet | Walker, G. (Grant) Ray, Nigel, 1945- Adams Memorial Symposium on Algebraic Topology Manchester, England |
author_sort | Adams Memorial Symposium on Algebraic Topology Manchester, England |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA612 |
callnumber-raw | QA612 .A66 1990eb |
callnumber-search | QA612 .A66 1990eb |
callnumber-sort | QA 3612 A66 41990EB |
callnumber-subject | QA - Mathematics |
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contents | Cover; Title; Copyright; Contents of Volume 1; Preface; 1 The work of J. F. Adarns; A. The cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem; B. Applications of K-theory; C. Characteristic classes and calculations in K-theory and cobordism; D. Stable homotopy and generalized homology; E. Lectures on Lie groups (1969) [38]; F. Finite H-spaces and compact Lie groups; G. Maps between classifying spaces of compact Lie groups; H. Modules over the Steenrod algebra and their Ext groups I. Miscellaneous papers in homotopy and cohomology theory. Infinite loop spaces(1975 IAS lecture notes) [61]; K. Two unpublished expository papers; Bibliography of J. F. Adams; 2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration; 1. Introduction; 2. Algebraic Preliminaries; 3. Models for twisted tensor products of DGA's; 4. An examination of Brown's equivalence; 5. The Adams-Hilton model for the total space of a fibration; References.; 3 Hochschild homology, cyclic homology, and the cobar construction; Introduction. 5 A splitting result for the second homology group of the general linear group1. Introduction; 2. The second Postnikov section of a double loop space; 3. The naturality of the splitting; References; 6 Low dimensional spinor representations, Adams maps and geometric dimension; 1. Introduction.; 2. Spinor representations.; 3. Proof of Theorems 1, 2 and 3.; 4. An illustrative example.; 5. Constructing the KO-periodic map; References; 7 The characteristic classes for the exceptional Lie groups; 0. Introduction.; 1. The Hopf algebra structure. 2. The Borel theorem and the Eilenberg-Moore spectral sequence.3. The invariant subalgebra of the Weyl group.; 4. The twisted tensor product and the E2-term CotorA{Z/p, Z/p) with A = H*(G; Z/p).; 5. A Z/2-resolution over H*(E8; Z/2).; 6. A Z/3-resolution over H*(Ad E6; Z/3).; References; 8 How can you tell two spaces apart when they have the same n-type for all n?; Example A; Example B; References; 9 A generalized Grothendieck spectral sequence; 1 Introduction; 1.1 Notation; 1.2 Organization; 2 Universal algebras & homotopical algebra; 2.1 universal algebras; 2.1.1 Cuga's |
ctrlnum | (OCoLC)708568454 |
dewey-full | 514/.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514/.2 |
dewey-search | 514/.2 |
dewey-sort | 3514 12 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic Conference Proceeding eBook |
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series | London Mathematical Society lecture note series ; |
series2 | London Mathematical Society lecture note series ; |
spelling | Adams Memorial Symposium on Algebraic Topology (1990 : Manchester, England) http://id.loc.gov/authorities/names/n93005100 Adams Memorial Symposium on Algebraic Topology. 1 : Manchester 1990 / edited by N. Ray and G. Walker. Cambridge ; New York : Cambridge University Press, ©1992. 1 online resource (xxiii, 292 pages) : illustrations, portraits. text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 175 Includes bibliographical references. Print version record. Cover; Title; Copyright; Contents of Volume 1; Preface; 1 The work of J. F. Adarns; A. The cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem; B. Applications of K-theory; C. Characteristic classes and calculations in K-theory and cobordism; D. Stable homotopy and generalized homology; E. Lectures on Lie groups (1969) [38]; F. Finite H-spaces and compact Lie groups; G. Maps between classifying spaces of compact Lie groups; H. Modules over the Steenrod algebra and their Ext groups I. Miscellaneous papers in homotopy and cohomology theory. Infinite loop spaces(1975 IAS lecture notes) [61]; K. Two unpublished expository papers; Bibliography of J. F. Adams; 2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration; 1. Introduction; 2. Algebraic Preliminaries; 3. Models for twisted tensor products of DGA's; 4. An examination of Brown's equivalence; 5. The Adams-Hilton model for the total space of a fibration; References.; 3 Hochschild homology, cyclic homology, and the cobar construction; Introduction. 5 A splitting result for the second homology group of the general linear group1. Introduction; 2. The second Postnikov section of a double loop space; 3. The naturality of the splitting; References; 6 Low dimensional spinor representations, Adams maps and geometric dimension; 1. Introduction.; 2. Spinor representations.; 3. Proof of Theorems 1, 2 and 3.; 4. An illustrative example.; 5. Constructing the KO-periodic map; References; 7 The characteristic classes for the exceptional Lie groups; 0. Introduction.; 1. The Hopf algebra structure. 2. The Borel theorem and the Eilenberg-Moore spectral sequence.3. The invariant subalgebra of the Weyl group.; 4. The twisted tensor product and the E2-term CotorA{Z/p, Z/p) with A = H*(G; Z/p).; 5. A Z/2-resolution over H*(E8; Z/2).; 6. A Z/3-resolution over H*(Ad E6; Z/3).; References; 8 How can you tell two spaces apart when they have the same n-type for all n?; Example A; Example B; References; 9 A generalized Grothendieck spectral sequence; 1 Introduction; 1.1 Notation; 1.2 Organization; 2 Universal algebras & homotopical algebra; 2.1 universal algebras; 2.1.1 Cuga's Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology. English. Adams, J. Frank (John Frank) http://id.loc.gov/authorities/names/n78069212 Adams, J. Frank (John Frank) fast https://id.oclc.org/worldcat/entity/E39PBJjxpYGrMGxgQFpqcGtYfq Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. bisacsh Algebraic topology fast Conference papers and proceedings fast Walker, G. (Grant) https://id.oclc.org/worldcat/entity/E39PCjvdxxgBvTjwgHB9Ty9yQy http://id.loc.gov/authorities/names/n93005093 Ray, Nigel, 1945- https://id.oclc.org/worldcat/entity/E39PCjrxrqvFdxHygwJwd66fHK http://id.loc.gov/authorities/names/n77003838 has work: Adams Memorial Symposium on Algebraic Topology 1 (Text) https://id.oclc.org/worldcat/entity/E39PCGKxYY7qwyjTXgt8TxwxcK https://id.oclc.org/worldcat/ontology/hasWork 0-521-42074-1 London Mathematical Society lecture note series ; 175. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552491 Volltext |
spellingShingle | Adams Memorial Symposium on Algebraic Topology. Manchester 1990 / London Mathematical Society lecture note series ; Cover; Title; Copyright; Contents of Volume 1; Preface; 1 The work of J. F. Adarns; A. The cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem; B. Applications of K-theory; C. Characteristic classes and calculations in K-theory and cobordism; D. Stable homotopy and generalized homology; E. Lectures on Lie groups (1969) [38]; F. Finite H-spaces and compact Lie groups; G. Maps between classifying spaces of compact Lie groups; H. Modules over the Steenrod algebra and their Ext groups I. Miscellaneous papers in homotopy and cohomology theory. Infinite loop spaces(1975 IAS lecture notes) [61]; K. Two unpublished expository papers; Bibliography of J. F. Adams; 2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration; 1. Introduction; 2. Algebraic Preliminaries; 3. Models for twisted tensor products of DGA's; 4. An examination of Brown's equivalence; 5. The Adams-Hilton model for the total space of a fibration; References.; 3 Hochschild homology, cyclic homology, and the cobar construction; Introduction. 5 A splitting result for the second homology group of the general linear group1. Introduction; 2. The second Postnikov section of a double loop space; 3. The naturality of the splitting; References; 6 Low dimensional spinor representations, Adams maps and geometric dimension; 1. Introduction.; 2. Spinor representations.; 3. Proof of Theorems 1, 2 and 3.; 4. An illustrative example.; 5. Constructing the KO-periodic map; References; 7 The characteristic classes for the exceptional Lie groups; 0. Introduction.; 1. The Hopf algebra structure. 2. The Borel theorem and the Eilenberg-Moore spectral sequence.3. The invariant subalgebra of the Weyl group.; 4. The twisted tensor product and the E2-term CotorA{Z/p, Z/p) with A = H*(G; Z/p).; 5. A Z/2-resolution over H*(E8; Z/2).; 6. A Z/3-resolution over H*(Ad E6; Z/3).; References; 8 How can you tell two spaces apart when they have the same n-type for all n?; Example A; Example B; References; 9 A generalized Grothendieck spectral sequence; 1 Introduction; 1.1 Notation; 1.2 Organization; 2 Universal algebras & homotopical algebra; 2.1 universal algebras; 2.1.1 Cuga's Adams, J. Frank (John Frank) http://id.loc.gov/authorities/names/n78069212 Adams, J. Frank (John Frank) fast https://id.oclc.org/worldcat/entity/E39PBJjxpYGrMGxgQFpqcGtYfq Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. bisacsh Algebraic topology fast |
subject_GND | http://id.loc.gov/authorities/names/n78069212 |
title | Adams Memorial Symposium on Algebraic Topology. Manchester 1990 / |
title_auth | Adams Memorial Symposium on Algebraic Topology. Manchester 1990 / |
title_exact_search | Adams Memorial Symposium on Algebraic Topology. Manchester 1990 / |
title_full | Adams Memorial Symposium on Algebraic Topology. 1 : Manchester 1990 / edited by N. Ray and G. Walker. |
title_fullStr | Adams Memorial Symposium on Algebraic Topology. 1 : Manchester 1990 / edited by N. Ray and G. Walker. |
title_full_unstemmed | Adams Memorial Symposium on Algebraic Topology. 1 : Manchester 1990 / edited by N. Ray and G. Walker. |
title_short | Adams Memorial Symposium on Algebraic Topology. |
title_sort | adams memorial symposium on algebraic topology manchester 1990 |
title_sub | Manchester 1990 / |
topic | Adams, J. Frank (John Frank) http://id.loc.gov/authorities/names/n78069212 Adams, J. Frank (John Frank) fast https://id.oclc.org/worldcat/entity/E39PBJjxpYGrMGxgQFpqcGtYfq Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. bisacsh Algebraic topology fast |
topic_facet | Adams, J. Frank (John Frank) Algebraic topology Congresses. Topologie algébrique Congrès. MATHEMATICS Topology. Algebraic topology Conference papers and proceedings |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552491 |
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