The notion of the ordinal product of a transfinite sequence of topological spaces which is an extension of the finite product operation is introduced. The dimensions of finite and infinite ordinal products are estimated. In particular, the dimensions of ordinary products of Smirnov's [S] and Henderson's [He1] compacta are calculated.
@article{bwmeta1.element.bwnjournal-article-fmv144i2p95bwm,
author = {Vitalij Chatyrko},
title = {Ordinal products of topological spaces},
journal = {Fundamenta Mathematicae},
volume = {144},
year = {1994},
pages = {95-117},
zbl = {0809.54027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv144i2p95bwm}
}
Chatyrko, Vitalij. Ordinal products of topological spaces. Fundamenta Mathematicae, Tome 144 (1994) pp. 95-117. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv144i2p95bwm/
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