Topological Library Part 3 Spectral Sequences In Topology
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Topological Library - Part 3: Spectral Sequences In Topology
Author: Serguei Petrovich Novikov
language: en
Publisher: World Scientific
Release Date: 2012-07-25
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.”
New Ideas In Low Dimensional Topology
Author: Vassily Olegovich Manturov
language: en
Publisher: World Scientific
Release Date: 2015-01-27
This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology. Low dimensions refer to dimensions three and four for the topology of manifolds and their submanifolds. Thus we have papers related to both manifolds and to knotted submanifolds of dimension one in three (classical knot theory) and two in four (surfaces in four dimensional spaces). Some of the work involves virtual knot theory where the knots are abstractions of classical knots but can be represented by knots embedded in surfaces. This leads both to new interactions with classical topology and to new interactions with essential combinatorics.
Topological Library - Part 2: Characteristic Classes And Smooth Structures On Manifolds
Author: Serguei Petrovich Novikov
language: en
Publisher: World Scientific
Release Date: 2009-10-07
This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “singular homologies of fiber spaces.”