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On non-injectivity of Borel functions selecting points from compact sets. 2

Balcerzak M., Peredko J., Pol R.

Bulletin of the Polish Academy of Sciences. Mathematics

2001

Vol. 49, no 2

103-105

The note is a supplement to (1]. We refine a result from [1] on the non-injectivity of Borel selections on the hyperspaces and we discuss the relations of the results in [1] with some results obtained by Lecomte (4].

A result related to the problem cn of Fremlin

Kolman O., Shelah S.

Journal of Applied Analysis

1998

Vol. 4, nr 2

161-165

We show that the set of injective functions from any uncountable cardinal less than the continuum into the real numbers is of the second category in the box product topology.