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When is a $(\prod_{\alpha \in J} X_\alpha \to X)$-function continuous?

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#general-topology #continuity #product-space
26
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Elements in the basis of Product topology determined by sub-basis other than sub-basis elements.

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#general-topology #proof-verification #product-space
67
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Ultrafilters over product spaces

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#general-topology #product-space
85
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Is the sequence of real number that are $0$ from some point Sense in the box or product topologies

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#general-topology #proof-writing #infinite-product #product-space #box-topology
343
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Embedding of rational number Q into real number R is dense and the embedding of Q into p-adic numbers $Q_p$ is dense too

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#p-adic-number-theory #product-space
280
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Continuous function mapping non-open sets to open sets

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#general-topology #continuity #product-space
33
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Non-homeomorphic structures and the Descartes' theorem

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#general-topology #geometric-topology #product-space
158
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Countability of Topologies and Product Topology

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#general-topology #examples-counterexamples #product-space
106
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Compactness and countably compactness in metric spaces

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#general-topology #compactness #product-space
30
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A product of intervals where the indexing set is all bounded sequences; Generalizing the limit of a sequence so that it is always defined.

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#general-topology #product-space
153
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If $X \times X$ is normal, then is $X \times X \times X$ normal?

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#general-topology #examples-counterexamples #dimension-theory-analysis #separation-axioms #product-space
284
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Formula for relative homotopy groups of products

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#abstract-algebra #general-topology #geometry #algebraic-topology #product-space
135
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Topology closed sets in products of spaces

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#general-topology #product-space
58
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Set of continous functions writable as cartesian product

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#general-topology #functional-analysis #product-space
122
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Help with product maps in topological spaces

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#general-topology #continuity #product-space

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