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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Weak topological functors 1

Abstract

Patrik LUNDSTROM

We introduce weak topological functors and show that they lift and preserve weak limits and weak colimits. We also show that if A ! B is a topological functor and J is a category, then the induced functor AJ ! BJ is topological. These results are applied to a generalization of Wyler’s top categories and in particular to functor categories of fuzzy maps, fuzzy relations, fuzzy topological spaces and fuzzy measurable spaces.

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Citations: 1926

Journal of Generalized Lie Theory and Applications received 1926 citations as per Google Scholar report

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