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h-COBORDISMS AND MAPPING CYLINDER OBSTRUCTIONS.
- Source :
-
Journal of the Australian Mathematical Society . Apr2009, Vol. 86 Issue 2, p249-278. 30p. - Publication Year :
- 2009
-
Abstract
- In this paper we prove a realizability theorem for Quinn's mapping cylinder obstructions for stratified spaces. We prove a continuously controlled version of the s-cobordism theorem which we further use to prove the relation between the torsion of an h-cobordism and the mapping cylinder obstructions. This states that the image of the torsion of an h-cobordism is the mapping cylinder obstruction of the lower stratum of one end of the h-cobordism in the top filtration. These results are further used to prove a theorem about the realizability of end obstructions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14467887
- Volume :
- 86
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 48188480
- Full Text :
- https://doi.org/10.1017/S1446788708000487