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FULL AND CONVEX LINEAR SUBCATEGORIES ARE INCOMPRESSIBLE.
- Source :
-
Proceedings of the American Mathematical Society . Jun2013, Vol. 141 Issue 6, p1939-1946. 8p. - Publication Year :
- 2013
-
Abstract
- Consider the intrinsic fundamental group à la Grothendieck of a linear category, introduced in our earlier papers using connected gradings. In this article we prove that any full convex subcategory is incompressible, in the sense that the group map between the corresponding fundamental groups is injective. We start by proving the functoriality of the intrinsic fundamental group with respect to full subcategories, based on the study of the restriction of connected gradings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 141
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 86276109
- Full Text :
- https://doi.org/10.1090/S0002-9939-2013-11470-X