Order, lattices, ordered algebraic structures -- Ordered sets -- Combinatorics of partially ordered sets

OC

Organized collapse: an introduction to discrete Morse theory

by Feichtner-Kozlov, Dmitry

fromGraduate studies in mathematics

0 Type: Book

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…

OC

Organized collapse: an introduction to discrete Morse theory

by Kozlov, D. N., (Dmitriĭ Nikolaevich)

fromGraduate studies in mathematics

0 Type: Book

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 …