On generalized Erd?s spaces |
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Authors: | Jan J Dijkstra Dave Visser |
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Institution: | Faculteit der Exacte Wetenschappen / Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands |
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Abstract: | During the last years both Erd?s space and complete Erd?s space were topologically characterized by Dijkstra and van Mill. Applications include results about Erd?s type spaces in ?p-spaces as well as results about Polishable ideals on ω. We present an unifying theorem in terms of sets with a reflexive relation that among other things contains these apparently dissimilar results as special cases. |
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Keywords: | Erd?s space Complete Erd?s space Lower semi-continuous functions Submeasures on ω Fixed point |
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