A remark on fixed points of functors in topological categories |
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Authors: | JirÍ Adámek |
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Institution: | (1) Technical University of Braunschweig, Postfach 33 29, 38092 Braunschweig, Germany |
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Abstract: | For a topological category over Set we prove that if a functor T: has a fixed cardinal (i.e. for each object K with card (UK)= we have card (UTK)), then T has a least fixed point, and if T has a successive pair of fixed cardinals and +, then T has a greatest fixed point. This extends results of Adámek and Koubek.Partial financial support of the Grant Agency of the Czech Republic under Grant No. 201/93/0950 is gratefully acknowledged. |
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Keywords: | 18A99 68Q65 |
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