Scoville, Nicholas A.,

Discrete Morse theory / Nicholas A. Scoville. - pages cm. - Student mathematical library ; volume 90 .

Includes bibliographical references and index.

What is discrete Morse theory? -- Simplifying complexes -- Discrete Morse theory -- Simplicial homology -- Main theorems of discrete Morse theory -- Discrete Morse theory and persistent homology -- Boolean functions and evasiveness -- The Morse complexes -- Morse homology -- Computations with discrete Morse theory -- Strong discrete Morse theory.



Combinatorial topology.
Morse theory.
Homology theory.
Homotopy theory.
Algebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- Abstract complexes.
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] -- Variational problems in infinite-dimensional spaces -- Abstr
Manifolds and cell complexes -- PL-topology -- General topology of complexes.
Manifolds and cell complexes -- PL-topology -- Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28].

QA612.14 / .S36 2019


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