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On Nash theorem

Władysław Kulpa, Andrzej Szymański (2002)

Acta Universitatis Carolinae. Mathematica et Physica

On open maps of Borel sets

A. Ostrovsky (1995)

Fundamenta Mathematicae

We answer in the affirmative [Th. 3 or Corollary 1] the question of L. V. Keldysh [5, p. 648]: can every Borel set X lying in the space of irrational numbers ℙ not G δ · F σ and of the second category in itself be mapped onto an arbitrary analytic set Y ⊂ ℙ of the second category in itself by an open map? Note that under a space of the second category in itself Keldysh understood a Baire space. The answer to the question as stated is negative if X is Baire but Y is not Baire.

On p -closed spaces.

Dontchev, Julian, Ganster, Maximilian, Noiri, Takashi (2000)

International Journal of Mathematics and Mathematical Sciences

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