I moved all research of unfixed filters to volume-1.pdf. Particularly now it contains subsections “The lattice of unfixed filters” and “Principal unfixed filters and filtrator of unfixed filters”.

Now I am going to research unfixed reloids and unfixed funcoids (yet to be defined).

]]>It is a trivial result but I had a weaker theorem in my book before today.

]]>Participate in writing my math research book (volumes 1 and 2), a groundbreaking general topology research published in the form of a freely downloadable book:

- implement existing ideas, propose new ideas
- develop new theories
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You can do all of the above or any particular thing, dependently on your mood.

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the base of every primary filtrator over a distributive lattice which is an ideal base is a co-frame.

Really it can be not a complete lattice, as in the example of the lattice of the poset of all small (belonging to a Grothendieck universe) sets.

I will update my book soon.

]]>The theorem is in the subsection “The diagram for unfixed filters”.

]]>I uploaded a new version of the book with red font error notice.

The error seems not to be serious, however. I think all this can be corrected. Other sections of the book are not affected at all.

]]>This reveals the importance of the poset of filters on the poset of small sets.

See the new version of my book.

]]>It remains to research the properties of the lattice of unfixed filters.

]]>See new subsection “Embedding into the lattice of filters on small” in my book.

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