Janusz J. Charatonik, Alejandro Illanes, "Bend sets, -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, -sequences, and mappings
The existence of an -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 -sequence also keep these properties. In particular, mapping properties of bend sets are studied.
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