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There are 2^c symmetrically continuous functions

journal contribution
posted on 2023-06-07, 23:51 authored by Miroslav ChlebikMiroslav Chlebik
The purpose of this paper is to prove that the power of the set of symmetrically continuous real functions is 2c (c is the power of the continuum). This surprisingly contrasts with the set of continuous (or Borel) real functions, the power of which is c.

History

Publication status

  • Published

Journal

Proceedings of the American Mathematical Society

ISSN

0002-9939

Publisher

American Mathematical Society

External DOI

Issue

3

Volume

113

Page range

683-688

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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