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On the external characterization of topological functors

✍ Scribed by Harvey Wolff

Publisher
Springer
Year
1977
Tongue
English
Weight
441 KB
Volume
22
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

A remark on fixed points of functors in
A remark on fixed points of functors in topological categories
✍ JirÍ AdΓ‘mek πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 263 KB

For a topological category/C over Set we prove that if a functor T: /C --+/C has a fixed cardinal a (i.e./or each object K with card (UK) = a we have card (UTK) <~ c~), then T has a least fixed point, and if T has a successive pair of fixed cardinals a and a +, then T has a greatest fixed point. Thi