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Definition of Separable Space

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#general-topology #hilbert-spaces #separable-spaces
37
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Clarification on a question about $C_b(X)$

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#measure-theory #separable-spaces
118
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Smallest topology on $\mathbb{C}$ such that all singletons are closed

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#general-topology #separable-spaces
89
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Show that $(X,d)$ is a separable metric space.

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#metric-spaces #separable-spaces
60
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Is this topology separable, first countable, second countable?

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#general-topology #separable-spaces #second-countable #first-countable
141
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A one-point compactification of a non-separable metric space: separable or not?

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#general-topology #compactness #separable-spaces
148
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Complement Finite space is separable

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#general-topology #separable-spaces
158
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Let X be a topological space. a) If X is Hausdorff and it has an countable base, so X is normal?

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#general-topology #separable-spaces #second-countable #first-countable
40
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When is graph closed and relation of it with continuity of the function

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#general-topology #continuity #separable-spaces
488
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Hilbert space $\mathcal{H}$ is separable if and only if $\mathcal{B}(\mathcal{H})$ is separable

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#functional-analysis #separable-spaces
69
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Find a metric space that is totally bounded, not complete, and not separable, or explain why one cannot exist.

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#general-topology #metric-spaces #complete-spaces #separable-spaces
221
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$f$ continuous in a dense set $G_\delta$

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#general-topology #metric-spaces #baire-category #separable-spaces
357
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Proof: $\mathbb{R}^n $ is separable, show that every open cover of $\mathbb{R}^n$ has a countable subcover

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#general-topology #proof-writing #compactness #separable-spaces
574
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n-dimensional Euclidean space is separable

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#general-topology #separable-spaces
265
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Hahn-Banach theorem in separable space

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#functional-analysis #separable-spaces #hahn-banach-theorem

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