Extensions of Boolean isometries

Details Extensions of Boolean isometries Extensions of Boolean isometries

2009-03-14

arxiv.org/abs/0903.2571v1

Discrete Math. 297, No. 1-3, 1-12 (2005)

Mathematics

Logic

Scientific paper

We study when a map between two subsets of a Boolean domain W can be extended
to an automorphism of W. Under many hypotheses, if the underlying Boolean
algebra is complete or if the sets are finite or Boolean domains, the necessary
and suficient condition is that it preserves the Boolean distance between every
couple of points.

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