Beyond cauchy and quasi-Cauchy sequences
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1803035c
Abstract: In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward… read more here.
Keywords: continuous functions; cauchy sequences; cauchy quasi; quasi cauchy ... See more keywords
Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion
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DOI: 10.4995/agt.2023.18783
Abstract: Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces. We show that the category of Τ-quasi-Cauchy spaces is… read more here.
Keywords: non symmetric; theory completeness; cauchy; quasi cauchy ... See more keywords