Displaying similar documents to “Extensions of functions from products with compact or metric factors”

On countable families of sets without the Baire property

Mats Aigner, Vitalij A. Chatyrko, Venuste Nyagahakwa (2013)

Colloquium Mathematicae

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We suggest a method of constructing decompositions of a topological space X having an open subset homeomorphic to the space (ℝⁿ,τ), where n is an integer ≥ 1 and τ is any admissible extension of the Euclidean topology of ℝⁿ (in particular, X can be a finite-dimensional separable metrizable manifold), into a countable family ℱ of sets (dense in X and zero-dimensional in the case of manifolds) such that the union of each non-empty proper subfamily of ℱ does not have the Baire property...

Sums of quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

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It is proved that every real cliquish function defined on a separable metrizable space is the sum of three quasicontinuous functions.