Algebraic Models for Homotopy Types

Details Algebraic Models for Homotopy Types Algebraic Models for Homotopy Types

2003-11-27

arxiv.org/abs/math/0311509v1

Mathematics

Algebraic Topology

Submitted to HHA in October 2003

Scientific paper

The classical problem of algebraic models for homotopy types is precisely stated, to our knowledge for the first time. Two different natural statements for this problem are produced, the simplest one being entirely solved by the notion of SSEH-structure, due to the authors. Other tentative solutions, Postnikov towers and E_\infty-chain complexes, are considered and compared with the SSEH-structures. In particular, which looks at least like an unfortunate imprecision in the usual definition of the k-``invariants'' is explained, which implies we seem far from a solution for the ideal statement of our problem. At the positive side, the problem of the computability of the Postnikov towers is solved.

Affiliated with

Also associated with

No associations

Rating

Algebraic Models for Homotopy Types 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 Algebraic Models for Homotopy Types, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic Models for Homotopy Types will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519259