Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
Archives

One-point discontinuity of separately continuous functions of several variables on a product of compact spaces

##plugins.themes.bootstrap3.article.sidebar##

pdf
Published Aug 3, 2023
DOI https://doi.org/10.15673/pigc.v16i2.2451

##plugins.themes.bootstrap3.article.main##

Mykola Kozlovskyi
Yuriy Fedkovych Chernivtsi National University

Abstract


We investigate necessary and sufficient conditions for the existence of a (strongly) separately continuous function of n compact variables with an one-point set of points of discontinuity.
Keywords:
separately continuous functions, one-point discontinuity

##plugins.themes.bootstrap3.article.details##

How to Cite
Kozlovskyi, M. (2023). One-point discontinuity of separately continuous functions of several variables on a product of compact spaces. Proceedings of the International Geometry Center, 16(2), 105-115. https://doi.org/10.15673/pigc.v16i2.2451
Issue
Vol 16 No 2 (2023)
Section
Papers

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.

Provided they are the owners of the copyright to their work, authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of the work (e.g., post it to an institutional repository, in a journal or publish it in a book), with an acknowledgment of its initial publication in this journal.

Authors are permitted and encouraged to post their work online (e.g., in institutional repositories, disciplinary repositories, or on their website) prior to and during the submission process.