Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads

Details Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads

2010-08-17

arxiv.org/abs/1008.2926v1

Topology Appl. 157:15 (2010), 2421-2434

Mathematics

Category Theory

Scientific paper

10.1016/j.topol.2010.07.032

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.

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