2013/05/11 by Huseyin Cakalli, Cakalli, Huseyin
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #compactness #continuity #ideal #math.GM #summability
paper · pdf · doi:10.48550/arxiv.1305.3227
This paper has been withdrawn by the author due to the publication with the title "A variation on ward continuity" in the peer reviewed refereed journal Filomat Filomat 27:8 (2013), 1545-1549 at the following link http://www.pmf.ni.ac.rs/pmf/publikacije/filomat/2013/27-8/F27-8-17.pdf with DOI 10.2298/FIL1308545C
arxiv created 2013/12/05 · arxiv updated 2013/12/06
In this paper, we prove that any ideal ward continuous function is uniformly continuous either on an interval or on an ideal ward compact subset of R. A characterization of uniform continuity is also given via ideal quasi-Cauchy sequences.