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Gámez Merino, José Luis and Muñoz-Fernández, Gustavo A. and Seoane-Sepúlveda, Juan B.
(2011)
*A Characterization of Continuity Revisited.*
American Mathematical Monthly, 118
(2).
pp. 167-170.
ISSN 0002-9890

Official URL: http://www.ingentaconnect.com/content/maa/amm/2011/00000118/00000002/art00009

## Abstract

It is well known that a function f : R -> R is continuous if and only if the image of every compact set under f is compact and the image of every connected set is connected. We show that there exist two 2(c)-dimensional linear spaces of nowhere continuous functions that (except for the zero function) transform compact sets into compact sets and connected sets into connected sets respectively.

Item Type: | Article |
---|---|

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 16895 |

Deposited On: | 26 Oct 2012 09:01 |

Last Modified: | 25 Nov 2016 12:12 |

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