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

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

2008-06-09

arxiv.org/abs/0806.1488v2

Mathematics

Combinatorics

Presented at the TGGT 08 Conference, May 2008, Paris. The definition of a polytopal map has been modified

Scientific paper

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 with open questions, such as the existence of Sperner's lemma for a polytopal complex or the existence of a cubical approximation theorem.

Affiliated with

Also associated with

No associations

Rating

Polytopal complexes: maps, chain complexes and... necklaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polytopal complexes: maps, chain complexes and... necklaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polytopal complexes: maps, chain complexes and... necklaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-401409