Document Type
Article
Publication Date
2005
Publication Title
Transactions of the American Mathematical Society
Abstract
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 (QY; R) as an R-module and as an R-algebra, respectively. Under a further condition we show that H. (QY; R) is generated by Hurewicz images. As an example we study an infinite family of spaces constructed using only semi-inert cell attachments.
Repository Citation
Bubenik, Peter. Free and semi-inert cell attachments. Trans. Amer. Math. Soc. 357 (2005), no. 11, 4533–4553.
Original Citation
Bubenik, Peter. Free and semi-inert cell attachments. Trans. Amer. Math. Soc. 357 (2005), no. 11, 4533–4553.
DOI
10.1090/S0002-9947-05-03989-9
Version
Publisher's PDF
Publisher's Statement
First published in Transactions of the American Mathematical Society in volume 357, no. 11, 2005, published by the American Mathematical Society.
Volume
357
Issue
11
