International Journal of Mathematics Trends and Technology
Volume 16 | Number 1 | Year 2014 | Article Id. IJMTT-V16P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V16P502
We give results on the pointwise convergence of pointwise equicontinuous sequence of maps between metric spaces and on the continuity of limit function, when the restriction of maps to a dense set, are assumed continuous. These results are useful in analysis as well as mathematical physics.
[1] C. Goffman, “On a theorem of Henry Blumberg,” Mich. Math. J., 2, 1954, 21-22.
[2] N.S. Noorie, “Some Characterizations of Continuity and Pointwise Equicontinuity of Maps Between Metric Spaces,” South East Asian J. Math.& Math. Sci., 10(1), 2011, 59-66.
[3] “On Uniform Continuity, Isometry and Dense Sets in Metric Spaces,” Antarctica J. Math., 9(5), 2012, 437-443.
[4] N.S. Noorie and S. Kaur, “Map Gluing Theorems for theta continuous and s-theta continuous maps between topological spaces,” Journal of Advanced Studies in Topology, 5(1), 2014, 9-13.
[5] M. Reed, and B. Simon, Methods of Modern Mathematical Physics; I : Functional Analysis, Academic Press, 1972.
Navpreet Singh Noorie, "An Application of Dense Sets in Analysis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 16, no. 1, pp. 9-11, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V16P502
PDF 
Abstract 
Keywords 
References 
Citation