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1975•Proceedings of the American Mathematical SocietyOpen access

Strongly Homogeneous Spaces

Carol Kitai

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Abstract

Spaces satisfying various conditions have previously been called strongly homogeneous spaces and many results about the group of homeomorphisms of such spaces have been proved. However spaces may satisfy some “strongly homogeneous” condition without being homogeneous. In this paper we give a definition of strong homogeneity which implies homogeneity and includes most of the natural examples previously studied.

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Spaces satisfying various conditions have previously been called strongly homogeneous spaces and many results about the group of homeomorphisms of such spaces have been proved. However spaces may satisfy some “strongly homogeneous” condition without being homogeneous. In this paper we give a definition of strong homogeneity which implies homogeneity and includes most of the natural examples previously studied.

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Available abstract

Spaces satisfying various conditions have previously been called strongly homogeneous spaces and many results about the group of homeomorphisms of such spaces have been proved. However spaces may satisfy some “strongly homogeneous” condition without being homogeneous. In this paper we give a definition of strong homogeneity which implies homogeneity and includes most of the natural examples previously studied.

Key concepts: Homogeneity (statistics), Homogeneous, Mathematics, Pure mathematics, Mathematical analysis, Combinatorics, Statistics

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