The notion of locally $r$-incomparable families of compacta was introduced by K. Borsuk [KB]. In this paper we shall construct uncountable locally $r$-incomparable families of different types of finite-dimensional Cantor manifolds.
@article{119070, author = {Vitalij A. Chatyrko}, title = {On locally $r$-incomparable families of infinite-dimensional Cantor manifolds}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {40}, year = {1999}, pages = {165-173}, zbl = {1060.54510}, mrnumber = {1715209}, language = {en}, url = {http://dml.mathdoc.fr/item/119070} }
Chatyrko, Vitalij A. On locally $r$-incomparable families of infinite-dimensional Cantor manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 165-173. http://gdmltest.u-ga.fr/item/119070/
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