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Homotopy theory, homological algebra, algebraic treatments of manifolds.

7 votes
1 answer
428 views

What are the covering spaces of $\mathbb{Q}$?

Let $X = \mathbb{Q}$, topologized as a subset of the real line. Is there a reasonable description of the covering spaces of $X$? Here is something more precise. One way of constructing covers $p: \w …
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5 votes
0 answers
91 views

For spaces $U$ and discrete sets $I,J$, are maps $f\colon U \times I \rightarrow U \times J$...

Let $U$ be a topological space, let $I$ and $J$ be discrete sets, and let $f\colon U \times I \rightarrow U \times J$ be a continuous map that commutes with the projection onto the first factor. In o …
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