Boolean Algebras and Raising Maps to Zero-Dimensional Spaces
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 70-79
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Let X be a separable metric space and let be a family of countably many self-maps of X. Then there is a countable subalgebra of the Boolean algebra of regular open subsets of X which is a base for X such that for each the function defined by Φf(B) = (f-1(B))-0 is a homomorphism.
Mill, Jan van. Boolean Algebras and Raising Maps to Zero-Dimensional Spaces. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 70-79. doi: 10.4153/CMB-1983-012-3
@article{10_4153_CMB_1983_012_3,
author = {Mill, Jan van},
title = {Boolean {Algebras} and {Raising} {Maps} to {Zero-Dimensional} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {70--79},
year = {1983},
volume = {26},
number = {1},
doi = {10.4153/CMB-1983-012-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-012-3/}
}
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