Some results on inverse limit spaces
I. Lončar (1985)
Matematički Vesnik
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I. Lončar (1985)
Matematički Vesnik
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M. N. Mukherjee, S. Raychaudhuri (1993)
Matematički Vesnik
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A. V. Arhangel'skii, Ljubiša Kočinac (1990)
Publications de l'Institut Mathématique
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Ivan Gutman (1991)
Publications de l'Institut Mathématique
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Klaas Pieter Hart (1987)
Colloquium Mathematicae
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A. Błaszczyk (1973)
Colloquium Mathematicae
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Takemi Mizokami (1981)
Colloquium Mathematicae
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Takamitsu Yamauchi (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.
G. L. Garg, B. Kumar (1989)
Matematički Vesnik
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P. John, H. Sachs, H. Zernitz (1987)
Applicationes Mathematicae
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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.