We consider the class of compact spaces which are modifications of the well known double arrow space. The space is obtained from a closed subset K of the unit interval [0,1] by “splitting” points from a subset A ⊂ K. The class of all such spaces coincides with the class of separable linearly ordered compact spaces. We prove some results on the topological classification of spaces and on the isomorphic classification of the Banach spaces .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-4,
author = {Witold Marciszewski},
title = {Modifications of the double arrow space and related Banach spaces C(K)},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {249-262},
zbl = {1141.46006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-4}
}
Witold Marciszewski. Modifications of the double arrow space and related Banach spaces C(K). Studia Mathematica, Tome 187 (2008) pp. 249-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm184-3-4/