Polytopal complexes: maps, chain complexes and… necklaces

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Polytopal complexes: maps, chain complexes and... necklaces

The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of simplicial and cubical maps. It is then possible to define an induced chain map between the associated chain complexes. Finally, we use this new tool to give the first combinatorial proof of the splitting necklace theorem of Alon. The paper ends wi...

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ژورنال

عنوان ژورنال: Electronic Notes in Discrete Mathematics

سال: 2008

ISSN: 1571-0653

DOI: 10.1016/j.endm.2008.06.037