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

12 votes
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Is $X\times X$ homeomorphic to $X$ for a space of probability measures?

Let $\mathcal M_1(S)$ be the (compact, metrizable) space of probability Borel measures on the circle $S=\{z\in\mathbb C: |z|=1\}$ with its weak $*$ topology, so $\mu_n\to\mu$ if and only if $$ \int_S …
Christian Remling's user avatar