International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 817376 | https://doi.org/10.1155/S0161171204401227

Janusz J. Charatonik, Alejandro Illanes, "Bend sets, N-sequences, and mappings", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 817376, 10 pages, 2004. https://doi.org/10.1155/S0161171204401227

Bend sets, N-sequences, and mappings

Received24 Jan 2004

Abstract

The existence of an N-sequence in a continuum is a common obstruction that implies nonsmoothness, noncontractibility, nonselectibility, and nonexistence of any mean. The aim of the present paper is to investigate if some variants of the concept of an N-sequence also keep these properties. In particular, mapping properties of bend sets are studied.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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