In the category of relative categories the Rezk equivalences are exactly the DK-equivalences

Details In the category of relative categories the Rezk equivalences are exactly the DK-equivalences In the category of relative categories the Rezk equivalences are exactly the DK-equivalences

2010-12-07

arxiv.org/abs/1012.1541v2

Mathematics

Algebraic Topology

5 pages. Typographical errors corrected

Scientific paper

In a previous paper we lifted Charles Rezk's complete Segal model structure on the category of simplicial spaces to a Quillen equivalent one on the category of "relative categories," and our aim in this successor paper is to obtain a more explicit description of the weak equivalences in this model structure by showing that these weak equivalences are exactly the DK-equivalences, i.e. those maps between relative categories which induce a weak equivalence between their simplicial localizations.

Affiliated with

Also associated with

No associations

Rating

In the category of relative categories the Rezk equivalences are exactly the DK-equivalences 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 In the category of relative categories the Rezk equivalences are exactly the DK-equivalences, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and In the category of relative categories the Rezk equivalences are exactly the DK-equivalences will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481130