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Results tagged with gn.general-topology
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user 5513
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
4
votes
The reals as continuous image of the irrationals
For the second question, remember that the subset only has to be closed in the irrationals, not as a subset of $\mathbb{R}$. With that in mind, you can take the closed subset to be the irrationals in …
- 4,790
7
votes
Accepted
Is a section of a proper map proper?
Not in general. As Mariano stated in the comments, it's true if $X$ is $T_2$. Here's a counterexample when $X$ is only $T_1$:
Let $X$ be the space obtained by gluing two closed unit intervals (call t …
- 4,790
11
votes
Examples where it's useful to know that a mathematical object belongs to some family of objects
A current trend in number theory is understanding how modular forms (or more generally automorphic representations) can be put into $p$-adic families, as well as their associated galois representation …