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A remark on conservative cocompletions of categories

✍ Scribed by Jiřı́ Velebil; Jiřı́ Adámek


Book ID
108357906
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
166 KB
Volume
168
Category
Article
ISSN
0022-4049

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📜 SIMILAR VOLUMES


A remark on fixed points of functors in
✍ JirÍ Adámek 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 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