Topology I: General Survey
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1996
|
| Series: | Encyclopaedia of Mathematical Sciences
12 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book constitutes nothing less than an up-to-date survey of the whole field of topology (with the exception of "general (set-theoretic) topology"), or, in the words of Novikov himself, of what was termed at the end of the 19th century "Analysis Situs", and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology. The book gives an overview of these subfields, beginning with the elements and proceeding right up to the present frontiers of research. Thus one finds here the whole range of topological concepts from fibre spaces (Chap.2), CW-complexes, homology and homotopy, through bordism theory and K-theory to the Adams-Novikov spectral sequence (Chap.3), and in Chapter 4 an exhaustive (but necessarily concentrated) survey of the theory of manifolds. An appendix sketching the recent impressive developments in the theory of knots and links and low-dimensional topology generally, brings the survey right up to the present. This work represents the flagship, as it were, in whose wake follow more detailed surveys of the various subfields, by various authors |
| Physical Description: | 1 Online-Ressource (V, 322 p) |
| ISBN: | 9783662105795 9783642057359 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-10579-5 |
Staff View
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Record in the Search Index
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| 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 | 3514.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-10579-5 |
| format | Electronic eBook |
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| id | DE-604.BV042423444 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662105795 9783642057359 |
| issn | 0938-0396 |
| language | English |
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| publishDate | 1996 |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Encyclopaedia of Mathematical Sciences |
| spelling | Novikov, S. P. Verfasser aut Topology I General Survey edited by S. P. Novikov Berlin, Heidelberg Springer Berlin Heidelberg 1996 1 Online-Ressource (V, 322 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 12 0938-0396 This book constitutes nothing less than an up-to-date survey of the whole field of topology (with the exception of "general (set-theoretic) topology"), or, in the words of Novikov himself, of what was termed at the end of the 19th century "Analysis Situs", and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology. The book gives an overview of these subfields, beginning with the elements and proceeding right up to the present frontiers of research. Thus one finds here the whole range of topological concepts from fibre spaces (Chap.2), CW-complexes, homology and homotopy, through bordism theory and K-theory to the Adams-Novikov spectral sequence (Chap.3), and in Chapter 4 an exhaustive (but necessarily concentrated) survey of the theory of manifolds. An appendix sketching the recent impressive developments in the theory of knots and links and low-dimensional topology generally, brings the survey right up to the present. This work represents the flagship, as it were, in whose wake follow more detailed surveys of the various subfields, by various authors Mathematics K-theory Systems theory Geometry Mathematical optimization Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) K-Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik https://doi.org/10.1007/978-3-662-10579-5 Verlag Volltext |
| spellingShingle | Novikov, S. P. Topology I General Survey Mathematics K-theory Systems theory Geometry Mathematical optimization Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) K-Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik |
| title | Topology I General Survey |
| title_auth | Topology I General Survey |
| title_exact_search | Topology I General Survey |
| title_full | Topology I General Survey edited by S. P. Novikov |
| title_fullStr | Topology I General Survey edited by S. P. Novikov |
| title_full_unstemmed | Topology I General Survey edited by S. P. Novikov |
| title_short | Topology I |
| title_sort | topology i general survey |
| title_sub | General Survey |
| topic | Mathematics K-theory Systems theory Geometry Mathematical optimization Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) K-Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik |
| topic_facet | Mathematics K-theory Systems theory Geometry Mathematical optimization Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) K-Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik |
| url | https://doi.org/10.1007/978-3-662-10579-5 |
| work_keys_str_mv | AT novikovsp topologyigeneralsurvey |