The first steps -- Simplicial homology -- Beyond the simplicial setting -- Category of chain complexes -- Chain homotopy -- Connecting homomorphism -- Singular homology -- Cellular homology -- Simplicial collapses -- Organizing collapsing sequences -- Internal collapses and disc…
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"Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into…
Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into …
Ordered groups and topology
by Clay, Adam, (Adam J.), Rolfsen, Dale
fromGraduate studies in mathematics
0
Type: Book
This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, an…
Ordered groups and topology
by Clay, Adam, (Adam J.), Rolfsen, Dale
fromGraduate studies in mathematics
0
Type: Book
"This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, a…
