Free and semi-inert cell attachments
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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 $H_*(\Omega Y;R)$ 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.References
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Additional Information
- Peter Bubenik
- Affiliation: Institut de Géométrie, Algèbre et Topologie, Ecole Polytechnique Fédérale de Lausanne, EPFL/SB/IGAT (BCH), 1015 Lausanne, Switzerland
- ORCID: 0000-0001-5262-2133
- Email: peter.bubenik@epfl.ch
- Received by editor(s): December 5, 2003
- Published electronically: June 21, 2005
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 357 (2005), 4533-4553
- MSC (2000): Primary 55P35; Secondary 16E45
- DOI: https://doi.org/10.1090/S0002-9947-05-03989-9
- MathSciNet review: 2156720