Some results on continuity in a measure-metric space


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Authors

  • Elvin Rada University of Elbasan “Aleksandër Xhuvani”
  • Agron Tato Polytechnic University of Tirana

Keywords:

symmetric difference, metric measure space, weak convergence, weak continuity

Abstract

The symmetric difference of the two intersect sets is subject of many fames and popular books as "Measure theory" from Halmos, "Elementi teorii funkcij i funkcional'nogo analiza" book of Kolmogorov and others. We try to construct one other space parallel with metric space using the symmetric difference. In this space we are studying continuous functions and the convergence of some functional sequences.

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Author Biographies

Elvin Rada, University of Elbasan “Aleksandër Xhuvani”

Department of Mathematics, Faculty of Natural Sciences,  Albania

Agron Tato , Polytechnic University of Tirana

Albania

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Published

2024-11-30

How to Cite

Rada, E., & Tato , A. (2024). Some results on continuity in a measure-metric space. International Journal of Advanced Natural Sciences and Engineering Researches, 8(10), 356–361. Retrieved from https://as-proceeding.com/index.php/ijanser/article/view/2252

Issue

Vol. 8 No. 10 (2024): IJANSER

Section

Articles