The functors Wbar and Diag o Nerve are simplicially homotopy equivalent

Details The functors Wbar and Diag o Nerve are simplicially homotopy equivalent The functors Wbar and Diag o Nerve are simplicially homotopy equivalent

2008-04-07

arxiv.org/abs/0804.1082v1

Journal of Homotopy and Related Structures 3(1) (2008), pp. 359-378

Mathematics

Algebraic Topology

Scientific paper

Given a simplicial group G, there are two known classifying simplicial set constructions, the Kan classifying simplicial set Wbar G and Diag N G, where N denotes the dimensionwise nerve. They are known to be weakly homotopy equivalent. We will show that Wbar G is a strong simplicial deformation retract of Diag N G. In particular, Wbar G and Diag N G are simplicially homotopy equivalent.

Affiliated with

Also associated with

No associations

Rating

The functors Wbar and Diag o Nerve are simplicially homotopy equivalent 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 The functors Wbar and Diag o Nerve are simplicially homotopy equivalent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The functors Wbar and Diag o Nerve are simplicially homotopy equivalent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729964