, Volume 140, Issue 3, pp 203-231
Date: 09 Feb 2013

Baire generalized topological spaces, generalized metric spaces and infinite games

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Abstract

Different generalizations of topological Baire spaces to the case of generalized topological spaces are considered and the properties of such spaces are examined. In particular, these considerations are focused on the relationship between Baire generalized topological spaces and semi-continuous real functions and infinite games. The notion of generalized metric spaces corresponding to generalized topological spaces is introduced as an important tool in this discussion.

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