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Novak space is extremally disconnected #1200

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Moniker1998
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@prabau
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prabau commented Jan 19, 2025

The proof that the extremally disconnected property is preserved by dense sets is really not hard. But we can change the Engelking reference to something more explicit for the benefit of pi-base users. Let me make a suggestion below.

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prabau commented Jan 19, 2025

see #1202.
We may instead remove all references to that fact here and add a meta-property on the page for the extremally disconnected property. So we would have a common reference available for all spaces that need it.

Co-authored-by: Patrick Rabau <70125716+prabau@users.noreply.github.com>
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prabau commented Jan 19, 2025

As for the Novak space itself, I have not taken time to read the description yet, so I cannot comment on it at this point. If anyone else wants to review this, please feel free.

Moniker1998 and others added 2 commits January 23, 2025 12:57
Co-authored-by: Patrick Rabau <70125716+prabau@users.noreply.github.com>
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pzjp commented Feb 20, 2025

I would add to the definition of the Novak space a reference to item 1 in Counterexamples... to justify the existence of the family { P A : A F } .

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@pzjp The definition of Novak space needs a whole revamp, but this is for another PR #1218

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