Locally compact spaces whose Alexandroff one-point compactifications are perfect
Calvin F. K. Jung (1973)
Colloquium Mathematicae
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Calvin F. K. Jung (1973)
Colloquium Mathematicae
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Giorgio Nordo (1997)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we generalize the notion of of a Tychonoff space to a generic extension of any space by introducing the concept of . This allow us to simplify the treatment in a basic way and in a more general setting. Some [S], [S], and [D]’s results are improved and new characterizations for perfect (Hausdorff) extensions of spaces are obtained.
M. N. Mukherjee, S. Raychaudhuri (1993)
Matematički Vesnik
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David Holgate (1998)
Commentationes Mathematicae Universitatis Carolinae
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We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
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.
Garg, G.L., Goel, Asha (1995)
International Journal of Mathematics and Mathematical Sciences
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