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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

4 votes

How can one characterise compactness-by-experiment?

If $J$ is a directed set and $X$ is a topological space, then a net in $X$ is a function $f\colon J \to X$. A net converges to $x \in X$ if for every neighborhood $U$ of $x$ there is $\alpha \in J$ so …
Bill Kronholm's user avatar