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LEADER 03440cam a22006138i 4500

001 on1157725342;

003 OCoLC;

005 20201029084411.0;

008 200516s2020 riu b 001 0 eng ;

010 a| 2020008704;

020 a| 9781470457013q| (hardcover);

020 a| 1470457016;

020 z| 9781470460082q| (ebook);

035 a| (Sirsi) 40030003107;

035 a| 40030003107;

035 a| (OCoLC)1157725342;

042 a| pcc;

050 00 a| QA612.14b| .K69 2020;

082 00 a| 514/.22| 23;

084 a| 57Q10a| 05C70a| 06A07a| 55U10a| 57-02a| 57Q05a| 58E052| msc;

100 1 a| Kozlov, D. N.q| (Dmitriĭ Nikolaevich),e| author.=| ^A760427;

245 10 a| Organized collapse :b| an introduction to discrete Morse theory /c| Dmitry N. Kozlov.;

263 a| 2006;

264 1 a| Providence, Rhode Island :b| American Mathematical Society,c| [2020];

300 a| pages cm.;

336 a| textb| txt2| rdacontent;

337 a| unmediatedb| n2| rdamedia;

338 a| volumeb| nc2| rdacarrier;

490 1 a| Graduate studies in mathematics,x| 1065-7339 ;v| 207;

504 a| Includes bibliographical references and index.;

505 0 a| 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 discrete Morse theory -- Explicit homology classes associated to critical cells -- The critical Morse complex -- Implications and variations -- Algebraic Morse theory -- Discrete Morse theory for posets -- Discrete Morse theory for CW complexes -- Discrete Morse theory and persistence.;

650 0 a| Combinatorial topology.=| ^A26488;

650 0 a| Morse theory.=| ^A305062;

650 0 a| Homology theory.=| ^A30430;

650 0 a| Homotopy theory.=| ^A18132;

650 7 a| Combinatorial topology.2| fast0| (OCoLC)fst00868987;

650 7 a| Homology theory.2| fast0| (OCoLC)fst00959720;

650 7 a| Homotopy theory.2| fast0| (OCoLC)fst00959852;

650 7 a| Morse theory.2| fast0| (OCoLC)fst01026497;

650 7 a| Manifolds and cell complexes -- PL-topology -- Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.2| msc;

650 7 a| Combinatorics -- Graph theory -- Factorization, matching, partitioning, covering.2| msc;

650 7 a| Order, lattices, ordered algebraic structures -- Ordered sets -- Combinatorics of partially ordered sets.2| msc;

650 7 a| Algebraic topology -- Applied homological algebra and category theory -- Simplicial sets and complexes.2| msc;

650 7 a| Manifolds and cell complexes -- Research exposition (monographs, survey articles)2| msc;

650 7 a| Manifolds and cell complexes -- PL-topology -- General topology of complexes.2| msc;

650 7 a| Global analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Abstr.2| msc;

830 0 a| Graduate studies in mathematics ;v| 207.=| ^A347883;

949 i| 30372017368454o| jjlm;

960 o| 1s| 89.00t| Joyner48u| JAPPz| USD;

596 a| 1;

998 a| 5496700;

999 a| QA612.14 .K69 2020w| LCc| 1i| 30372017368454d| 12/18/2020e| 10/5/2020l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 9/29/2020x| BOOKz| JSTACKSo| .STAFF. jjlm;

999 a| QA612.14 .K69 2020w| LCc| 1i| 30372017375392l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 4/18/2021x| BOOKz| JSTACKSo| .STAFF. jjlm;

Organized collapse : an introduction to discrete Morse theory / Dmitry N. Kozlov.

Author/creator	Kozlov, D. N. author.
Format	Book
Publication	Providence, Rhode Island : American Mathematical Society, [2020]
Description	pages cm.
Subjects	Combinatorial topology. Morse theory. Homology theory. Homotopy theory.

Series	Graduate studies in mathematics, 1065-7339 ; 207 Graduate studies in mathematics ; 207. ^A347883
Contents	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 discrete Morse theory -- Explicit homology classes associated to critical cells -- The critical Morse complex -- Implications and variations -- Algebraic Morse theory -- Discrete Morse theory for posets -- Discrete Morse theory for CW complexes -- Discrete Morse theory and persistence.
Bibliography note	Includes bibliographical references and index.
LCCN	2020008704
ISBN	9781470457013 (hardcover)
ISBN	1470457016
ISBN	(ebook)

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Joyner	General Stacks	QA612.14 .K69 2020	✔ Available	Place Hold
Joyner	General Stacks	QA612.14 .K69 2020	✔ Available	Place Hold

Organized collapse : an introduction to discrete Morse theory / Dmitry N. Kozlov.

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