Displaying similar documents to “The combinatorial derivation and its inverse mapping”

Spaces not distinguishing pointwise and ℐ -quasinormal convergence

Pratulananda Das, Debraj Chandra (2013)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we extend the notion of quasinormal convergence via ideals and consider the notion of ℐ -quasinormal convergence. We then introduce the notion of ℐ Q N ( ℐ w Q N ) space as a topological space in which every sequence of continuous real valued functions pointwise converging to 0 , is also ℐ -quasinormally convergent to 0 (has a subsequence which is ℐ -quasinormally convergent to 0 ) and make certain observations on those spaces.

Pseudouniform topologies on C ( X ) given by ideals

Roberto Pichardo-Mendoza, Angel Tamariz-Mascarúa, Humberto Villegas-Rodríguez (2013)

Commentationes Mathematicae Universitatis Carolinae

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Given a Tychonoff space X , a base α for an ideal on X is called pseudouniform if any sequence of real-valued continuous functions which converges in the topology of uniform convergence on α converges uniformly to the same limit. This paper focuses on pseudouniform bases for ideals with particular emphasis on the ideal of compact subsets and the ideal of all countable subsets of the ground space.

On ideal equal convergence

Rafał Filipów, Marcin Staniszewski (2014)

Open Mathematics

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We consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472]. Our definition of ideal equal convergence encompasses two different kinds of ideal equal convergence introduced in [Das P., Dutta S., Pal S.K., On and *-equal convergence and an Egoroff-type theorem, Mat. Vesnik, 2014, 66(2), 165–177]_and...