My math book updated

I have updated my math book with new (easy but) general theorem similar to this (but in other notation):

Theorem If \mathfrak{Z} is an ideal base, then the set of filters on \mathfrak{Z} is a join-semilattice and the binary join of filters is described by the formula \mathcal{A}\sqcup\mathcal{B} = \mathcal{A}\cap\mathcal{B}.

I have updated some other theorems to use this general result and so themselves to become a little more general.

In the course of rewriting my book I found and corrected several small errors.

The latest changes of the book are not yet as thoroughly checked for errors as the rest of the book.

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