Lifting of the hyperspace triple to the category of (strongly) semiconvex compacta |
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| Author |
Department of Physics and Mathematics, Pre-Carpathian State University
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| Abstract |
It is proved that the (strongly) semiconvex hyperspace functor is a unique
lifting of the hyperspace functor onto the category of (strongly)
semiconvex compacta.
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| Keywords |
semiconvex hyperspace functor, strongly semiconvex hyperspace functor, hyperspace functor, lifting functor, category of semiconvex compacta
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| DOI |
doi:10.30970/ms.12.1.67-75
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Reference |
1. Barr M., Wells Ch Toposes, triples and theories // Springer,addr New York etc. – 1988 p. 345
2. Engelking R. General topology , PWN ,addr Warsaw – 1977 3. Fedorchuk V.V., Filippov V.V. General topology: Basic constructions , Izd-vo MGU ,addr M.– 1988 in Russian 4. Nykyphorchyn O.R. Semiconvex compacta // Comm. Math. Univ. Carol. V. 38 – 1997 5. Nykyphorchyn O.R. Probability measures, measurable mappings and convexity: categorial properties, Candidate thesis, Lviv University ,addr Lviv – 1996 in Ukrainian 6. Zarichnyi M.M. Topology of functors and triples in the category of compacta, ISDO, addr Kyiv– 1993 |
| Pages |
67-75
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| Volume |
12
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| Issue |
1
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
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