Question

Homeomorphism between topological space and product space

score 466 · Answer 1 · 2014-03-22 18:31:18

466

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Homeomorphism between topological space and product space

Published on 22 Mar 2014 - 18:31

score 1.5k · Answer 2 · 2014-03-22 22:38:21

1.5k

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Proof: Categorical Product = Topological Product

Published on 22 Mar 2014 - 22:38

score 2k · Answer 3 · 2026-03-25 06:17:52

2k

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Compact topological space not having Countable Basis?

Published on 25 Mar 2026 - 6:17

score 4.6k · Answer 4 · 2014-04-16 00:16:36

4.6k

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Product topology and standard euclidean topology over $\mathbb{R}^n$ are equivalent

Published on 16 Apr 2014 - 0:16

score 387 · Answer 5 · 2014-04-26 12:37:29

387

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Prove that the product spaces $[0, 1] \times (0, 1]$ and $(0, 1] \times (0, 1]$ are homeomorphic.

Published on 26 Apr 2014 - 12:37

score 1.6k · Answer 6 · 2026-03-25 12:54:09

1.6k

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If J is uncountable, then $R^J$ is not normal.

Published on 25 Mar 2026 - 12:54

score 1.3k · Answer 7 · 2014-05-23 22:36:43

1.3k

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Continuity of sum/product using characteristic property of product topology

Published on 23 May 2014 - 22:36

score 87 · Answer 8 · 2014-06-04 10:10:30

87

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Prove $ \varphi ( x ) = \lambda ( Q_x ) $ is $ \mathcal{X} $-measurable

Published on 04 Jun 2014 - 10:10

score 324 · Answer 9 · 2014-06-11 06:39:56

324

Views

continuity of a function $f = (f_1,f_2)$ in a product topology if $f_1$ and $f_2$ are continous

Published on 11 Jun 2014 - 6:39

score 126 · Answer 10 · 2014-06-19 09:42:17

126

Views

How to find subbase and base for $X\times Y$?

Published on 19 Jun 2014 - 9:42

score 2k · Answer 11 · 2014-07-18 10:07:03

2k

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Product of $T_1$ spaces is $T_1$

Published on 18 Jul 2014 - 10:07

score 27.5k · Answer 12 · 2026-03-22 20:43:39

27.5k

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Why are box topology and product topology different on infinite products of topological spaces?

Published on 22 Mar 2026 - 20:43

score 789 · Answer 13 · 2014-08-10 19:18:48

789

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The general form of a measurable set in a product measurable space

Published on 10 Aug 2014 - 19:18

score 1.1k · Answer 14 · 2014-08-11 21:52:52

1.1k

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Questions on Fubini's Theorem and $\sigma$-finite measure?

Published on 11 Aug 2014 - 21:52

score 164 · Answer 15 · 2014-08-16 18:23:26

164

Views

Lebesgue-integrable and existence of integral

Published on 16 Aug 2014 - 18:23

List Question

Homeomorphism between topological space and product space

Proof: Categorical Product = Topological Product

Compact topological space not having Countable Basis?

Product topology and standard euclidean topology over $\mathbb{R}^n$ are equivalent

Prove that the product spaces $[0, 1] \times (0, 1]$ and $(0, 1] \times (0, 1]$ are homeomorphic.

If J is uncountable, then $R^J$ is not normal.

Continuity of sum/product using characteristic property of product topology

Prove $ \varphi ( x ) = \lambda ( Q_x ) $ is $ \mathcal{X} $-measurable

continuity of a function $f = (f_1,f_2)$ in a product topology if $f_1$ and $f_2$ are continous

How to find subbase and base for $X\times Y$?

Product of $T_1$ spaces is $T_1$

Why are box topology and product topology different on infinite products of topological spaces?

The general form of a measurable set in a product measurable space

Questions on Fubini's Theorem and $\sigma$-finite measure?

Lebesgue-integrable and existence of integral

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