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What does $d|A×A$ stand for?

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#general-topology #metric-spaces #notation
413
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Separating two points with open sets whose closure is also disjoint

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#general-topology #metric-spaces
98
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If $\mu_n(A) \to \mu(A)$ for every $A \in \mathcal A$, then $\mu_n \to\mu$ weakly.

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#probability-theory #measure-theory #metric-spaces
256
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Is the space of random continuous functions separable?

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#measure-theory #metric-spaces
152
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Continuity and Uniform Continuity for functions of one variable (topological definitions)in analysis course

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#metric-spaces #continuity #uniform-continuity
432
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Prove that $X=C([0,1],\mathbb{R})$ is Not complete

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#real-analysis #general-topology #metric-spaces
100
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Compactness of spaces

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#general-topology #metric-spaces #compactness
476
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prove that a function is continuous with respect to metric

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#metric-spaces
59
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A continuous contraction with various fixed points.

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#real-analysis #metric-spaces
607
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A subspace of $\mathbb R^n$ is compact iff it is closed and bounded in the $l_1$ metric.

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#general-topology #metric-spaces
64
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Continuity and density with functions coinciding

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#proof-verification #metric-spaces #continuity #proof-writing #epsilon-delta
168
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Equivalent definitions of Continuity in $\Bbb R$

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#real-analysis #metric-spaces #continuity #intuition
46
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Is the following statement true in metric spaces?

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#real-analysis #metric-spaces
330
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connected sets .disconnected sets in metric spaces

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#metric-spaces
2k
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If E⊂X and if p is a limit point of E, then there is a sequence {pn} in E such that p=limn→∞pn.

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#real-analysis #metric-spaces

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