The complement of a quasimöbius sphere is uniform.
MacManus, Paul (1996)
Annales Academiae Scientiarum Fennicae. Mathematica
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MacManus, Paul (1996)
Annales Academiae Scientiarum Fennicae. Mathematica
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Miroslav Hušek (2017)
Commentationes Mathematicae Universitatis Carolinae
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Various characterizations of realcompactness are transferred to uniform spaces giving non-equivalent concepts. Their properties, relations and characterizations are described in this paper. A Shirota-like characterization of certain uniform realcompactness proved by Garrido and Meroño for metrizable spaces is generalized to uniform spaces. The paper may be considered as a unifying survey of known results with some new results added.
N. C. Manna (1970)
Colloquium Mathematicae
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Herron, David A., Koskela, Pekka (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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E. Pap (1976)
Matematički Vesnik
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Vilímovský, J.
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Don A. Mattson (1977)
Colloquium Mathematicae
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Roland Coghetto (2016)
Formalized Mathematics
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In this article, we formalize in Mizar [1] the notion of uniform space introduced by André Weil using the concepts of entourages [2]. We present some results between uniform space and pseudo metric space. We introduce the concepts of left-uniformity and right-uniformity of a topological group. Next, we define the concept of the partition topology. Following the Vlach’s works [11, 10], we define the semi-uniform space induced by a tolerance and the uniform space induced by an equivalence...