Combinatorial cell complexes and Poincare duality

Details Combinatorial cell complexes and Poincare duality Combinatorial cell complexes and Poincare duality

2008-07-25

arxiv.org/abs/0807.4165v1

Mathematics

Algebraic Topology

31 pages, 8 pigures

Scientific paper

We define and study a class of finite topological spaces, which model the cell structure of a space obtained by gluing finitely many Euclidean convex polyhedral cells along congruent faces. We call these finite topological spaces, combinatorial cell complexes (or c.c.c). We define orientability, homology and cohomology of c.c.c's and develop enough algebraic topology in this setting to prove the Poincare duality theorem for a c.c.c satisfying suitable regularity conditions. The definitions and proofs are completely finitary and combinatorial in nature.

Affiliated with

Also associated with

No associations

Rating

Combinatorial cell complexes and Poincare duality 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 Combinatorial cell complexes and Poincare duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorial cell complexes and Poincare duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-326226