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Results tagged with gn.general-topology
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user 23434
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
4
votes
1
answer
369
views
Inducing metric spaces
Let $f\colon \mathbb{R}_{\geq0} \to \mathbb{R}_{\geq0}$ be a function. We say that $f$ has the property of inducing metric spaces, whenever for all metric space $(X,d)$, $(X, f \circ d)$ is also a met …
- 283
3
votes
0
answers
128
views
Topological interpretation of the existence part of the valuative criterion for properness
Let $X$ be a complex analytic space. I am trying to understand if there is a topological counterpart to the existence part of the valuative criterion for properness. The latter reads: every (ADDED: ra …
- 283
5
votes
1
answer
848
views
Hausdorff metric on C[0,1]
Let us consider $C[0,1]$, the space of continuous functions $f\colon [0,1] \to \mathbb{R}$. It comes usually with the metric of the maximum, or of the supremum, $d_{L^{\infty}}$. Each element $f$ in …
- 283