Cantor Space Theory: zero dimensional and totally disconnected #886
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zstone1
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…comp#886) * zero dimensional and totally disconnected * adding docs * nitpicking * fixing 8.14 build --------- Co-authored-by: Reynald Affeldt <[email protected]>
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TODO: MC2 port
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Motivation for this change
In continuing to break apart #627 into reviewable chunks, we introduce some basics about zero_dimensional and totally disconnected spaces. That is, spaces where points are separable by clopen sets. For completeness here, I'm also included "totally disconnected" spaces, that is spaces whose only connected components are singletons. These notions respect products, which is the main thing we actually need. A few additional lemmas are also proven to build out the theory a bit.
Things done/to do
CHANGELOG_UNRELEASED.md(do not edit former entries, only append new ones, be careful:
merge and rebase have a tendency to mess up
CHANGELOG_UNRELEASED.md)Automatic note to reviewers
Read this Checklist and put a milestone if possible.