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Spaces not distinguishing convergences of real-valued functions

✍ Scribed by Lev Bukovský; Ireneusz Recław; Miroslav Repický

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
273 KB
Volume
112
Category
Article
ISSN
0166-8641

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✦ Synopsis

In [Topology Appl. 41 (1991) 25] we have introduced the notion of a wQN-space as a space in which for every sequence of continuous functions pointwisely converging to 0 there is a subsequence quasi-normally converging to 0. In the present paper we continue this investigation and generalize some concepts touched there. The content is a variety of notions and relationships among them. The result is another scale in the investigation of smallness and the question is how this scale fits with other known scales and whether all relations in it are proper.

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