On the comparison of heredity of generalized metric properties to mapping spaces and hyperspaces by Takemi Mizokami, Norihito Shimane and Fumio Suwada

Topology Proceedings 26 No. 1 (2001-2002), pp. 271-282

On the comparison of heredity of generalized metric properties to mapping spaces and hyperspaces

Takemi Mizokami, Norihito Shimane and Fumio Suwada

We compare the heredity of some generalized metric properties to mapping spaces with compact open topology and hyperspaces of compact subsets with finite topology. Especially, we treat here spaces with a G_\delta-diagonal, G_\delta^*-diagonal, regular G_\delta-diagonal, paracompact M-space, M-space, topologically complete spaces and Moore spaces

Keywords: compact-open topology, generalized metric property, hyperspace
Mathematics Subject Classification: 54B20, 54C35

Document formats: AtlasImage format; PostScript file 197.0 Kb; PDF file 186.9 Kb

Topology Proceedings, Volume 26 No. 1 (2001-2002)
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