The moduli space of thickenings

Author:
Mokhtar Aouina

Journal:
Trans. Amer. Math. Soc. **364** (2012), 6689-6717

MSC (2010):
Primary 57R19; Secondary 55P10, 55P91, 55R25, 55Q99, 55S35, 55S40, 55U10, 55N99

Published electronically:
May 30, 2012

MathSciNet review:
2958952

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Abstract | References | Similar Articles | Additional Information

Abstract: Fix a finite connected CW complex of dimension . An *-thickening* of is a pair

In this paper we remove the connectivity hypothesis on . We define *moduli space* of -thickenings . We also define a *suspension map*

and compute its homotopy fibers in a range depending only on and . We will show that these homotopy fibers can be approximated by certain section spaces whose definition depends only on the choice of a certain stable vector bundle over .

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Additional Information

**Mokhtar Aouina**

Affiliation:
Department of Mathematics, Jackson State University, Jackson, Mississippi 39217

Email:
mokhtar.aouina@jsums.edu; mokhtarbenaouina@gmail.com

DOI:
http://dx.doi.org/10.1090/S0002-9947-2012-05645-5

Received by editor(s):
March 26, 2010

Received by editor(s) in revised form:
May 16, 2011

Published electronically:
May 30, 2012

Article copyright:
© Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.