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Property: Open connected components#1669

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felixpernegger wants to merge 6 commits intomainfrom
openconnected
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Property: Open connected components#1669
felixpernegger wants to merge 6 commits intomainfrom
openconnected

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@felixpernegger
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Closes #1668.

I basically just mirrored #1662. There are some some theorems about locally connected and connected that ought to be able to have a "local" version using this property, but i didnt look into this in detail yet.

@prabau prabau changed the title Property: Open path components Property: Open connected components Mar 12, 2026
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prabau commented Mar 12, 2026

will look at this tomorrow

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prabau commented Mar 13, 2026

P233: added an accessible link for the zb reference. Was somehow missed in #1662.

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prabau commented Mar 13, 2026

The Franklin-SmithThomas paper from https://topology.pi-base.org/properties/P000233 also mentions this property under the name CGS. Should we add this as well? If we do, I can try adding something if you want.

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prabau commented Mar 13, 2026

I did a few changes. Please take a look.

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Property Suggestion: Has open connected components

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