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Topology I: General Survey

Topology I: General Survey
Catalogue Information
Field name Details
Dewey Class 514.2
Title Topology I ([EBook]) : General Survey / edited by S. P. Novikov.
Added Personal Name Novikov, S.P.(Sergei Petrovich) editor.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1996.
Physical Details V, 322 pages : online resource.
Series Encyclopaedia of mathematical sciences 0938-0396 ; ; 12
ISBN 9783662105795
Summary Note 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.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-10579-5
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