A universal metacompact developable -space of weight m
Józef Chaber (1984)
Fundamenta Mathematicae
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Józef Chaber (1984)
Fundamenta Mathematicae
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Krzysztof Nowiński (1974)
Fundamenta Mathematicae
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J. Chaber (1972)
Fundamenta Mathematicae
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Robert W. Heath, Ernest A. Michael (1971)
Compositio Mathematica
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Gary D. Faulkner, Maria Cristina Vipera (1995)
Commentationes Mathematicae Universitatis Carolinae
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In the theory of compactifications, Magill's theorem that the continuous image of a remainder of a space is again a remainder is one of the most important theorems in the field. It is somewhat unfortunate that the theorem holds only in locally compact spaces. In fact, if all continuous images of a remainder are again remainders, then the space must be locally compact. This paper is a modification of Magill's result to more general spaces. This of course requires restrictions on the nature...
Andrzej Nowik, Patrick Reardon (2013)
Open Mathematics
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We prove that the Ellentuck, Hechler and dual Ellentuck topologies are perfect isomorphic to one another. This shows that the structure of perfect sets in all these spaces is the same. We prove this by finding homeomorphic embeddings of one space into a perfect subset of another. We prove also that the space corresponding to eventually different forcing cannot contain a perfect subset homeomorphic to any of the spaces above.
Józef Chaber (1983)
Fundamenta Mathematicae
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