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Inclusion hyperspaces and capacities on Tychonoff spaces: Functors and monads |
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| Authors: | Oleh Nykyforchyn Dušan Repovš |
| Institution: | a Department of Mathematics and Computer Science, Vasyl' Stefanyk Precarpathian National University, Shevchenka 57, Ivano-Frankivsk, Ukraine, 76025 b Faculty of Mathematics and Physics, and Faculty of Education, University of Ljubljana, P.O. Box 2964, Ljubljana, Slovenia, 1001 |
| Abstract: | The inclusion hyperspace functor, the capacity functor and monads for these functors have been extended from the category of compact Hausdorff spaces to the category of Tychonoff spaces. Properties of spaces and maps of inclusion hyperspaces and capacities (non-additive measures) on Tychonoff spaces are investigated. |
| Keywords: | Inclusion hyperspace Capacity Functor Monad (triple) Tychonoff space |
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