Part 4 of completing S110 #1163
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I reviewed Countably metacompact and Submetacompact. No problem for those. I'll leave the other two to someone more knowledgeable. |
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{S110|P33} will become redundant due to #1204. |
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Continuing #1128, #1129, and #1130, this is the fourth and final PR in a series to complete the traits of S110, the strong ultrafilter topology. This one added the three remaining traits: P32 (Countably paracompact), P33 (Countably metacompact), and P194 (Submetacompact). In addition, I've included a proof for P22 (Pseudocompact), which was originally just "asserted in the general reference chart" of Counterexamples.
This PR got delayed a bit, mostly because I was waiting the earlier three parts to be approved so that, in the final part, I can check to make sure there is no redundant trait. (And then because of the holidays.) There is indeed none.