Topological completeness of spaces of measures

Autor:	Vitalii V Fedorchuk
Rok vydání:	1999
Předmět:	Functor General Mathematics Tychonoff space Completeness (order theory) Mathematics::General Topology Topology Axiom Separation axiom Mathematics Probability measure
Zdroj:	Izvestiya: Mathematics. 63:827-843
ISSN:	1468-4810 1064-5632
DOI:	10.1070/im1999v063n04abeh000253
Popis:	We prove that the functors and of Radon and -additive probability measures, respectively, preserve neither the real-completeness nor the Dieudonne completeness of Tychonoff spaces. We suggest conditions under which Martin's axiom implies that preserves real-complete spaces, absolute extensors, and Tychonoff bundles. These last results cannot be obtained without additional set-theoretic assumptions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9b3a372d45cf9e89d58c6df12f6303a5 https://doi.org/10.1070/im1999v063n04abeh000253 Zobrazit plný text záznamu