List questions from topos-theory

Published on 17 Apr 2021 - 12:25

109

Views

Over topos is a topos

Published on 17 Apr 2021 - 14:12

299

Views

Equivalence of categories and toposes

Published on 28 Apr 2021 - 10:09

153

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Is that true that each non-initial object has elements under this definition of ETCS?

Published on 03 May 2021 - 12:13

106

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Proof that $[\top,\bot]$ is monic

Published on 06 May 2021 - 9:28

317

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Do pull backs preserve epi morphisms in a topos?

Published on 24 Feb 2026 - 4:33

77

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Necessary condition for the existence of subobject classifier

Published on 07 May 2021 - 9:48

47

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Why is $[\top,\bot]$ the character of the coproduct inclusion $i_1$?

Published on 24 Feb 2026 - 4:37

51

Views

Internally projective object gives a commuting square

Published on 24 Feb 2026 - 4:33

81

Views

Cocontinuity of the fiber functor on topological spaces

Published on 28 Mar 2026 - 23:19

219

Views

How to show a diagram is a pushout?

Published on 29 Mar 2026 - 2:36

43

Views

A locally small cocomplete quasitopos with strong generator is locally presentable

Published on 14 May 2021 - 14:15

155

Views

Every object of the topos $Sh(B)$ is projective

Published on 17 May 2021 - 21:23

266

Views

Locally cartesian closed vs cartesian closed

Published on 24 May 2021 - 22:33

243

Views

Why realizability topos instead of category of assemblies?

Published on 30 Mar 2026 - 16:40

List Question

Existence of smallest closed sub-$T$-algebra

Over topos is a topos

Equivalence of categories and toposes

Is that true that each non-initial object has elements under this definition of ETCS?

Proof that $[\top,\bot]$ is monic

Do pull backs preserve epi morphisms in a topos?

Necessary condition for the existence of subobject classifier

Why is $[\top,\bot]$ the character of the coproduct inclusion $i_1$?

Internally projective object gives a commuting square

Cocontinuity of the fiber functor on topological spaces

How to show a diagram is a pushout?

A locally small cocomplete quasitopos with strong generator is locally presentable

Every object of the topos $Sh(B)$ is projective

Locally cartesian closed vs cartesian closed

Why realizability topos instead of category of assemblies?

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