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Infinite symmetric group, pseudomanifolds, and combinatorial cobordism-like structures.
- Source :
- Journal of Topology & Analysis; Sep2018, Vol. 10 Issue 3, p605-625, 21p
- Publication Year :
- 2018
-
Abstract
- We consider a category ℬ whose morphisms are n -dimensional pseudomanifolds equipped with certain additional structures (coloring and labeling of some cells), multiplication of morphisms is similar to a concatenation of cobordisms. On the other hand, we consider the product G of (n + 1) copies of infinite symmetric group. We construct a correspondence between the sets of morphisms of ℬ and double coset spaces of G with respect to certain subgroups. We show that unitary representations of G produce functors from the category of ℬ to the category of Hilbert spaces and bounded linear operators. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17935253
- Volume :
- 10
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Topology & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 131491197
- Full Text :
- https://doi.org/10.1142/S179352531850022X