Combinatorial Alexander Duality - a Short and Elementary Proof

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00206710" target="_blank" >RIV/00216208:11320/09:00206710 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Combinatorial Alexander Duality - a Short and Elementary Proof

Original language description

Let X be a simplicial complex with ground set V. Define its Alexander dual as the simplicial complex X* = {sigma subset V| V setminus sigma not in X}. The combinatorial Alexander duality states that the ith reduced homology group of X is isomorphicto the (|V|-i-3)th reduced cohomology group of X* (over a given commutative ring R). We give a self-contained proof from the first principles accessible to a nonexpert.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/1M0545" target="_blank" >1M0545: Institute for Theoretical Computer Science</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Discrete and Computational Geometry

ISSN

0179-5376

e-ISSN

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Volume of the periodical

42, 2009

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

8

Pages from-to

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UT code for WoS article

000271198900005

EID of the result in the Scopus database

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