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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 isomorphic to 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.
  • 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 isomorphic to 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. (en)
Title
  • Combinatorial Alexander Duality - a Short and Elementary Proof
  • Combinatorial Alexander Duality - a Short and Elementary Proof (en)
skos:prefLabel
  • Combinatorial Alexander Duality - a Short and Elementary Proof
  • Combinatorial Alexander Duality - a Short and Elementary Proof (en)
skos:notation
  • RIV/00216208:11320/09:00206710!RIV10-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 307535
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/09:00206710
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Combinatorial; Alexander; Duality; Short; Elementary; Proof (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [FB361AA7C410]
http://linked.open...i/riv/nazevZdroje
  • Discrete and Computational Geometry
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 42, 2009
http://linked.open...iv/tvurceVysledku
  • Tancer, Martin
  • Björner, Anders
http://linked.open...ain/vavai/riv/wos
  • 000271198900005
http://linked.open...n/vavai/riv/zamer
issn
  • 0179-5376
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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