On the inverse image of Baire spaces.
Çiçek, Mustafa (1997)
International Journal of Mathematics and Mathematical Sciences
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Çiçek, Mustafa (1997)
International Journal of Mathematics and Mathematical Sciences
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Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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Tibor Neubrunn (1977)
Mathematica Slovaca
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S. Basu (2000)
Czechoslovak Mathematical Journal
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Steinhaus [9] prove that if a set has a positive Lebesgue measure in the line then its distance set contains an interval. He obtained even stronger forms of this result in [9], which are concerned with mutual distances between points in an infinite sequence of sets. Similar theorems in the case we replace distance by mutual ratio were established by Bose-Majumdar [1]. In the present paper, we endeavour to obtain some results related to sets with Baire property in locally compact topological...
Jozef Doboš, Zbigniew Piotrowski, Ivan L. Reilly (1994)
Mathematica Bohemica
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A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given.