On the functor of semiadditive τ-smooth functionals
| Autor: | N.K. Mamadaliev, R.B. Beshimov |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Pure mathematics Functor Brown's representability theorem Tychonoff space Global section functor 010102 general mathematics Cone (category theory) Mathematics::Algebraic Topology 01 natural sciences 010101 applied mathematics Mathematics::K-Theory and Homology Mathematics::Category Theory Geometry and Topology 0101 mathematics Exact functor Mathematics |
| Zdroj: | Topology and its Applications. 221:167-177 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2017.02.037 |
| Popis: | In the work we investigate categorical and topological properties of the functor O S τ of semiadditive τ-smooth functionals in the category T y c h of Tychonoff spaces and their continuous mappings, which extends the functor OS of semiadditive functionals in the category C o m p of compact spaces and their continuous mappings. It is proved that the functor O S τ is a normal functor in the category T y c h of Tychonoff spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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