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Fedorchuk, V. V.

Covariant functors in the category of compacta, absolute retracts, and Q- manifolds. (English. Russian original) Zbl 0495.54008

Russ. Math. Surv. 36, No. 3, 211-233 (1981); translation from Usp. Mat. Nauk 36, No. 3(219), 177-195 (1981).
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Cited in 6 Reviews
Cited in 18 Documents

MSC:

54B30 Categorical methods in general topology
54B20 Hyperspaces in general topology
18A22 Special properties of functors (faithful, full, etc.)
54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)
18B30 Categories of topological spaces and continuous mappings (MSC2010)
60B05 Probability measures on topological spaces

Keywords:

preservation of AR, ANR-sets, and Q-manifolds by covariant functors; normal functors; functor of probability measures; category of compact Hausdorff spaces; symmetric powers; nth hypersymmetric power; Hilbert cube
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