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Prove spaces are homeomorphic, not that obvious.

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#general-topology #product-space
57
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Is $\mathbb P((X,Y)\in A)=\int_{\mathbb R}\mathbb P(X\in A^y\mid Y=y)\mu_Y(dy)$ always true?

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#probability #measure-theory #product-space
796
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Countable product of metric spaces is metrizable [General Metric]

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#general-topology #reference-request #metric-spaces #product-space #metrizability
329
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Comparison between uniform and box topology on $\mathbb{R}^J$

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#general-topology #metric-spaces #product-space
1k
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Inverse of a projection function

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#general-topology #continuity #projection #product-space
48
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How come an element $s\in (\varprojlim S_i)^c$ does not obey $\pi_{ji}(s_j)=s_i$?

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#general-topology #projective-space #product-space
186
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Is equivalence of probability measures preserved under infinite products?

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#probability-theory #measure-theory #proof-verification #probability-distributions #product-space
135
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Why is $\{X=Y\}$ measurable if the diagonal is measurable?

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#probability-theory #measure-theory #product-space
66
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Stuck on part of a proof: finding neighbourhood of diagonal with second coordinate satisfying a certain property

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#real-analysis #general-topology #dynamical-systems #compactness #product-space
149
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If a product space is metrisable, are the factor spaces metrisable?

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#general-topology #metric-spaces #product-space
60
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Trouble understanding open sets in product topology.

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#general-topology #product-space
271
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How to construct metric of direct sum of spaces?

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#metric-spaces #product-space
743
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Net convergence over product and box topology

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#general-topology #product-space #nets #box-topology
366
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What is the definition of a product topology?

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#general-topology #continuity #product-space
724
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A generalization of the generalized tube lemma

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#general-topology #compactness #product-space

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