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math.GN2017
The Baire classification of strongly separately continuous functions on
Olena Karlova, Tomáš Visnyai
We prove that for any there exists a strongly separately continuous function such that belongs to the 'th /'th/ Baire class…
math.GN2017
Upper and lower Lebesgue classification of multivalued mappings of two variables
Olena Karlova, Volodymyr Mykhaylyuk
We introduce a functional Lebesgue classification of multivalued mappings and obtain results on upper and lower Lebesgue classifications of multivalued mappings …
math.GN2017
Diagonals of separately continuous maps with values in box products
Olena Karlova, Volodymyr Mykhaylyuk
We prove that if is a paracompact connected space and is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for…