عنوان

Discrete Morse theory /

شابک

1470452987

شابک

9781470452988

شابک اشتباه

9781470453794

عنوان اصلي

Discrete Morse theory /

نام عام مواد

[Book]

نام نخستين پديدآور

Nicholas A. Scoville.

محل نشرو پخش و غیره

Providence, Rhode Island :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

[2019]

نام خاص و کميت اثر

xiv, 273 pages :

ساير جزييات

illustrations ;

ابعاد

22 cm.

عنوان فروست

Student mathematical library ;

مشخصه جلد

volume 90

متن يادداشت

Includes bibliographical references (pages 257-264) and index.

متن يادداشت

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

بدون عنوان

0

متن يادداشت

Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invented by Robin Forman in the mid 1990s, discrete Morse theory is a combinatorial analogue of Marston Morse's classical Morse theory. Its applications are vast, including applications to topological data analysis, combinatorics, and computer science. This book, the first one devoted solely to discrete Morse theory, serves as an introduction to the subject. Since the book restricts the study of discrete Morse theory to abstract simplicial complexes, a course in mathematical proof writing is the only prerequisite needed. Topics covered include simplicial complexes, simple homotopy, collapsibility, gradient vector fields, Hasse diagrams, simplicial homology, persistent homology, discrete Morse inequalities, the Morse complex, discrete Morse homology, and strong discrete Morse functions. Students of computer science will also find the book beneficial as it includes topics such as Boolean functions, evasiveness, and has a chapter devoted to some computational aspects of discrete Morse theory. The book is appropriate for a course in discrete Morse theory, a supplemental text to a course in algebraic topology or topological combinatorics, or an independent study.

موضوع مستند نشده

Geometry, Differential.

موضوع مستند نشده

Homotopy theory.

موضوع مستند نشده

Morse theory.

موضوع مستند نشده

Algebraic topology -- Applied homological algebra and category theory [See also 18Gxx] -- Abstract complexes.

موضوع مستند نشده

Geometry, Differential.

موضوع مستند نشده

Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15} -- Variational problems in infinite-dimensional spaces -- Abstr.

موضوع مستند نشده

Homotopy theory.

موضوع مستند نشده

Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- PL-topology -- General topology of complexes.

موضوع مستند نشده

Manifolds and cell complexes {For complex manifolds, see 32Qxx} -- PL-topology -- Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28].

موضوع مستند نشده

Morse theory.

موضوع مستند نشده

Morse-Theorie

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

کد سيستم

مستند نام اشخاص تاييد نشده

Scoville, Nicholas A.

تاريخ عمليات

20200823025907.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y