Continuous selections of finite-set valued mappings
Libor Veselý (1991)
Czechoslovak Mathematical Journal
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Libor Veselý (1991)
Czechoslovak Mathematical Journal
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Ganster, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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A. J. Ward (1967)
Colloquium Mathematicae
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Clay, Ellen (1997)
International Journal of Mathematics and Mathematical Sciences
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A. Lelek, L. F. McAuley (1967)
Colloquium Mathematicae
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Jiling Cao, Julian Dontchev (1999)
Mathematica Slovaca
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Atsushi Kogasaka, Katsuro Sakai (2009)
Open Mathematics
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Let X be an infinite, locally connected, locally compact separable metrizable space. The space C(X) of real-valued continuous functions defined on X with the compact-open topology is a separable Fréchet space, so it is homeomorphic to the psuedo-interior s = (−1, 1)ℕ of the Hilbert cube Q = [−1, 1]ℕ. In this paper, generalizing the Sakai-Uehara’s result to the non-compact case, we construct a natural compactification (X) of C(X) such that the pair ( (X), C(X)) is homeomorphic to (Q,...
Al-Zoubi, Khalid, Al-Ghour, Samer (2007)
International Journal of Mathematics and Mathematical Sciences
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Peg Daniels (1991)
Fundamenta Mathematicae
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