Free and semi-inert cell attachments

Details Free and semi-inert cell attachments Free and semi-inert cell attachments

2003-12-19

arxiv.org/abs/math/0312387v1

Trans. Amer. Math. Soc. 357 (2005), no. 11, 4533--4553

Mathematics

Algebraic Topology

20 pages

Scientific paper

Let $Y$ be the space obtained by attaching a finite-type wedge of cells to a simply-connected, finite-type CW-complex. We introduce the free and semi-inert conditions on the attaching map which broadly generalize the previously studied inert condition. Under these conditions we determine $H_*(\Omega Y;R)$ as an $R$-module and as an $R$-algebra respectively. Under a further condition we show that $H_*(\Omega Y;R)$ is generated by Hurewicz images. As an example we study an infinite family of spaces constructed using only semi-inert cell attachments.

Affiliated with

Also associated with

No associations

Rating

Free and semi-inert cell attachments 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 Free and semi-inert cell attachments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free and semi-inert cell attachments will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198916