ON COMPACTNESS TYPE EXTENSIONS OF TOPOLOGYCAL AND UNIFORM SPACES

Authors

  • Marat Chamashev Osh State University
  • Guliza Namazova Institute of Mathematics NAS KR, Bishkek, Kyrgyzstan

DOI:

https://doi.org/10.52754/16948645_2024_1(4)_46

Keywords:

Uniform real complete extension, locally compact paracompact extension, locally compact Lindelöff extension

Abstract

In this article extensions of real-complete Tychonoff and uniform spaces are considered, as well as locally compact paracompact and locally compact Lindelöff extensions of Tychonoff and uniform spaces.

References

Edwin Hewitt. Rings of real-valued continuous functions I. Transactions of the American Mathematical Society 64(1948). – Р. 45-99. DOI: https://doi.org/10.1090/S0002-9947-1948-0026239-9

Borubaev A.A. Ravnomernaya topologiya. Bishkek. Izdatelstvo “Ilim” 2013.

Aparina L.V. Hewitovskie rasshireniya blizostnych I ravnomernych prostranstv // Sibirskii mat. journal. – 1974. – Т.15. – №4. – P. 707-729.

Engeiking R. General topology. Moskow.Mir, 1986. P.752

Borubaev A.A. On completions of uniform spaces and extensions of topological spaces. Bolg.Math.Spis., 1989, V.15.1. P. 63-73. (in Russian)

Published

2024-06-11

How to Cite

Chamashev, M., & Namazova , G. (2024). ON COMPACTNESS TYPE EXTENSIONS OF TOPOLOGYCAL AND UNIFORM SPACES. Journal of Osh State University. Mathematics. Physics. Technical Sciences, (1(4), 247–250. https://doi.org/10.52754/16948645_2024_1(4)_46