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Metric spaces in synthetic topology
Bauer, Andrej ; Lešnik, Davorin, 1983-
Obravnavamo relacijo med sintetičnim pristopom topologiji, v kateri je vsaka množica opremljena z intrinsično topologijo, in konstruktivno teorijo metričnih prostorov. Povežemo sintetično kompaktnost ...Cantorjevega prostora z Brouwerjevim principom Fan. Dokažemo, da se intrinsične in metrične topologije separabilnih metričnih prostorov skladajo, če se skladajo za Baireov prostor. V ruskem konstruktivizmu se poveza med sintetično in metrično topologijo poruši, saj že zelo preprost poln popolnoma omejen metrični prostorni kompakten, njegova intrinsična topologija pa je strogo finejša od metrične. Nasprotno pa se v Brouwerjevem intuicionizmu sintetična in metrična topologija in kompaktnost ujemata.
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