We study the set functions 𝓣 and 𝒦 on irreducible continua. We present several properties of these functions when defined on irreducible continua. In particular, we characterize the class of irreducible continua for which these functions are continuous. We also characterize the class of 𝒦-symmetric irreducible continua.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-7,
author = {Leobardo Fern\'andez and Sergio Mac\'\i as},
title = {The set functions T and K and irreducible continua},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {79-91},
zbl = {1222.54011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-7}
}
Leobardo Fernández; Sergio MacĂas. The set functions 𝓣 and đť’¦ and irreducible continua. Colloquium Mathematicae, Tome 120 (2010) pp. 79-91. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-7/