Author:
Deleanu Aristide,Hilton Peter
Abstract
Following LeVan (6), we were led in (3) to investigate a purely categorical formulation of shape theory, which had hitherto been confined to certain rather circumscribed areas of topology. However, several authors (6, 7, 8, 9, 10, 11) had noted that, within this topological context, shape theory could be related to the process of expressing objects of the larger category T as filtered limits of objects of the given full subcategory P.
Publisher
Cambridge University Press (CUP)
Reference11 articles.
1. On the categorical shape of a functor;Deleanu;Fund. Math.
2. On shapes of topological spaces;Morita;Fund. Math.
3. (6) LeVan J. Shape theory. Dissertation, University of Kentucky (1973).
4. Remark on the čech extension of cohomology functors;Deleanu;Proc. Adv. Study Inst. Alg. Top. Aarhus,1970
5. Shapes for topological spaces
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