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A set functor which commutes with all homfunctors is a homfunctor. (English) Zbl 0336.18006

MSC:
 18B99 Special categories 18B05 Categories of sets, characterizations
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References:
 [1] L. Gillman M. Jerison: Rings of continuous functions. Van Nostrand’s University series in higher mathematics, Princeton-New Jersey. · Zbl 0151.30003 [2] V. Koubek: Set functors. Comment. Math. Univ. Carolinae 12 (1971), 175-195. · Zbl 0217.06803 [3] S. Mac-Lane: Kategorien. Lecture Notes, Berlin-Heidelberg-New York, 1972. · Zbl 0243.18001 [4] V. Trnková: On descriptive classification of set functors 1. Comment. Math. Univ. Carolinae 12 (1971), 143-175. · Zbl 0232.18004 [5] V. Trnková: Some properties of set functors. Comment. Math. Univ. Carolinae 10 (1969), 323-352. · Zbl 0183.30401
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