Extensions of unbounded topological spaces
Alessandro Caterino, Stefano Guazzone (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Alessandro Caterino, Stefano Guazzone (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Ganster, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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A. Błaszczyk (1972)
Colloquium Mathematicae
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S. B. Niefield (1983)
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Peg Daniels (1991)
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L. M. Sánchez Ruiz, M. López Pellicer (1989)
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Williams, Dana P. (2003)
The New York Journal of Mathematics [electronic only]
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Giuliano Artico, Umberto Marconi, Jan Pelant, Luca Rotter, Mikhail Tkachenko (2002)
Fundamenta Mathematicae
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We extend van Mill-Wattel's results and show that each countably compact completely regular space with a continuous selection on couples is suborderable. The result extends also to pseudocompact spaces if they are either scattered, first countable, or connected. An infinite pseudocompact topological group with such a continuous selection is homeomorphic to the Cantor set. A zero-selection is a selection on the hyperspace of closed sets which chooses always an isolated point of a set....
Francisco Marin (1972)
Fundamenta Mathematicae
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