Myronyk O. Stratifiable, semistratifiable spaces and separately continuous mappings

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U001028

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

19-12-2015

Specialized Academic Board

K 76.051.02

Essay

The thesis is devoted to investigation of continuity point sets of separately continues functions with values in the following spaces: the space of all continuous functions with the topology of pointwise convergence, the space of all continuous functions with the compact-open topology, the Bing plane, the Ceder plane and the Sorgenfrey line, are investigated. It is introduced a new notion of the Ceder product. We prove general theorems on quasi-continuity and joint continuity of separately continuous functions of several variables with values in a completely regular space.

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