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Add some traits of S18 (fixed) #1166

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Add some traits of S18 (fixed) #1166

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@StevenClontz StevenClontz commented Dec 29, 2024

Fixes #1151 by @Moniker1998

Closes #1151

@StevenClontz StevenClontz changed the base branch from double-pointed-cocountable-topology-on-R to main December 29, 2024 03:09
@StevenClontz StevenClontz changed the title Pr1151merge Add some traits of S18 (fixed) Dec 29, 2024
@StevenClontz StevenClontz marked this pull request as ready for review December 29, 2024 03:10
@StevenClontz StevenClontz changed the base branch from main to double-pointed-cocountable-topology-on-R December 29, 2024 03:17
@StevenClontz StevenClontz changed the base branch from double-pointed-cocountable-topology-on-R to main December 29, 2024 03:18
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One things noticeable is that, we can check all the theorems and strengthen it to the version that could be pass Kolmogorov quotient, that will be good for spaces like S18 whose Kolmogorov quotient has more property can be deduced.

For example, clearly $T_1$ in T381 can be weaken to $R_0$ and thus we would know {S18|¬P158}, etc.

Maybe it can be proposed in a separated issue/PR. Maybe a huge work.

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pzjp commented Jan 12, 2025

Some traits are redundant, e.g. P1, P13, P28, P43, P46, P139

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