Directed algebraic topology :: models of non-reversible worlds /
This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguishe...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
©2009.
|
Schriftenreihe: | New mathematical monographs ;
13. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguished from that of classical algebraic topology by the principle that directed spaces have privileged directions and directed paths therein need not be reversible. |
Beschreibung: | 1 online resource (ix, 434 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 418-423) and index. |
ISBN: | 9780511657061 0511657064 9780511656514 0511656513 9780511658372 0511658370 9780511657474 0511657471 |
Internformat
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DE-BY-FWS_katkey | ZDB-4-EBA-ocn536174531 |
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adam_text | |
any_adam_object | |
author | Grandis, Marco |
author_GND | http://id.loc.gov/authorities/names/nb2009025174 |
author_facet | Grandis, Marco |
author_role | |
author_sort | Grandis, Marco |
author_variant | m g mg |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA612 |
callnumber-raw | QA612 .G73 2009 |
callnumber-search | QA612 .G73 2009 |
callnumber-sort | QA 3612 G73 42009 |
callnumber-subject | QA - Mathematics |
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collection | ZDB-4-EBA |
contents | First-order directed homotopy and homology. Directed structures and first-order homotopy properties -- Directed homology and non-commutative geometry -- Modelling the fundamental category -- Higher directed homotopy theory. Settings for higher order homotopy -- Categories of functors and algebras, relative settings -- Elements of weighted algebraic topology -- Appendix A. Some points of category theory. |
ctrlnum | (OCoLC)536174531 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514.2 |
dewey-search | 514.2 |
dewey-sort | 3514.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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indexdate | 2024-11-27T13:16:57Z |
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spelling | Grandis, Marco. http://id.loc.gov/authorities/names/nb2009025174 Directed algebraic topology : models of non-reversible worlds / Marco Grandis. Cambridge, UK ; New York : Cambridge University Press, ©2009. 1 online resource (ix, 434 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier New mathematical monographs ; 13 This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguished from that of classical algebraic topology by the principle that directed spaces have privileged directions and directed paths therein need not be reversible. Includes bibliographical references (pages 418-423) and index. First-order directed homotopy and homology. Directed structures and first-order homotopy properties -- Directed homology and non-commutative geometry -- Modelling the fundamental category -- Higher directed homotopy theory. Settings for higher order homotopy -- Categories of functors and algebras, relative settings -- Elements of weighted algebraic topology -- Appendix A. Some points of category theory. Print version record. Algebraic topology. http://id.loc.gov/authorities/subjects/sh85003438 Topologie algébrique. MATHEMATICS Topology. bisacsh Algebraic topology fast Algebraische Topologie gnd http://d-nb.info/gnd/4120861-4 has work: Directed algebraic topology (Text) https://id.oclc.org/worldcat/entity/E39PCGd4kD6Vc44DVBxCHyKVQ3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Grandis, Marco. Directed algebraic topology. Cambridge : Cambridge University Press, 2009 9780521760362 (OCoLC)318871498 New mathematical monographs ; 13. http://id.loc.gov/authorities/names/n2003010567 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=302311 Volltext |
spellingShingle | Grandis, Marco Directed algebraic topology : models of non-reversible worlds / New mathematical monographs ; First-order directed homotopy and homology. Directed structures and first-order homotopy properties -- Directed homology and non-commutative geometry -- Modelling the fundamental category -- Higher directed homotopy theory. Settings for higher order homotopy -- Categories of functors and algebras, relative settings -- Elements of weighted algebraic topology -- Appendix A. Some points of category theory. Algebraic topology. http://id.loc.gov/authorities/subjects/sh85003438 Topologie algébrique. MATHEMATICS Topology. bisacsh Algebraic topology fast Algebraische Topologie gnd http://d-nb.info/gnd/4120861-4 |
subject_GND | http://id.loc.gov/authorities/subjects/sh85003438 http://d-nb.info/gnd/4120861-4 |
title | Directed algebraic topology : models of non-reversible worlds / |
title_auth | Directed algebraic topology : models of non-reversible worlds / |
title_exact_search | Directed algebraic topology : models of non-reversible worlds / |
title_full | Directed algebraic topology : models of non-reversible worlds / Marco Grandis. |
title_fullStr | Directed algebraic topology : models of non-reversible worlds / Marco Grandis. |
title_full_unstemmed | Directed algebraic topology : models of non-reversible worlds / Marco Grandis. |
title_short | Directed algebraic topology : |
title_sort | directed algebraic topology models of non reversible worlds |
title_sub | models of non-reversible worlds / |
topic | Algebraic topology. http://id.loc.gov/authorities/subjects/sh85003438 Topologie algébrique. MATHEMATICS Topology. bisacsh Algebraic topology fast Algebraische Topologie gnd http://d-nb.info/gnd/4120861-4 |
topic_facet | Algebraic topology. Topologie algébrique. MATHEMATICS Topology. Algebraic topology Algebraische Topologie |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=302311 |
work_keys_str_mv | AT grandismarco directedalgebraictopologymodelsofnonreversibleworlds |