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

4 votes

Continuous section of support - Is it possible to map compact sets to measures supported on ...

If $X$ is a subset of $\mathbb{R}^n$, one way is to take the uniform measure on say a ball containing $X$, and take the pushforward of it by the closest point projection on your compact subset $K$. …
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6 votes
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Codimension zero embeddings and maps with small fibers

Isn't the following an example? Build $M$ starting from the plane by attaching an infinite sequence of handles whose size decreases to zero. Take for $N$ the disjoint union of $M_k$, where $M_k$ is th …
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