List questions from category-theory

Published on 10 Sep 2018 - 20:08

188

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Is there a category theoretic definition of emergence?

Published on 11 Sep 2018 - 9:27

235

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Matrix multiplication in "linear" categories (Exercise 23.1 in Conceptual Mathematics)

Published on 11 Sep 2018 - 9:58

96

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Equivalence of categories, exercise from Category theory in contexts

Published on 11 Sep 2018 - 14:53

82

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The fiber is a homotopy fiber

Published on 26 Mar 2026 - 11:04

96

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$\mathbf{B}A$ as a 2-group in a long fiber sequence

Published on 25 Mar 2026 - 5:16

295

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Why is a direct summand of a compact object compact?

Published on 25 Mar 2026 - 17:45

359

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What's the meaning of "decreasing filtration"?

Published on 25 Mar 2026 - 8:01

219

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The Whitehead product and $\pi_{\leq 3} S^2$

Published on 27 Mar 2026 - 18:51

193

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Constructing limits in an additive category given the existence of products and kernels

Published on 25 Mar 2026 - 3:20

81

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The understanding of category of groups

Published on 25 Mar 2026 - 4:41

78

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Is there a category similar to Set, but having the morphism binary relations instead of functions?

Published on 13 Sep 2018 - 7:06

82

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Is there a category theoretic characterisation of the exponential map from differential geometry?

Published on 25 Mar 2026 - 6:04

165

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The direct sum of any family of objects

Published on 13 Sep 2018 - 12:46

71

Views

Show that if the arrow $f: A \to B$ is an epimorphism then the arrow $id \times f: C\times A \to C \times B$ is an epimorphism as well

Published on 13 Sep 2018 - 21:05

List Question

What is a Hyper-Category?

Is there a category theoretic definition of emergence?

Matrix multiplication in "linear" categories (Exercise 23.1 in Conceptual Mathematics)

Equivalence of categories, exercise from Category theory in contexts

The fiber is a homotopy fiber

$\mathbf{B}A$ as a 2-group in a long fiber sequence

Why is a direct summand of a compact object compact?

What's the meaning of "decreasing filtration"?

The Whitehead product and $\pi_{\leq 3} S^2$

Constructing limits in an additive category given the existence of products and kernels

The understanding of category of groups

Is there a category similar to Set, but having the morphism binary relations instead of functions?

Is there a category theoretic characterisation of the exponential map from differential geometry?

The direct sum of any family of objects

Show that if the arrow $f: A \to B$ is an epimorphism then the arrow $id \times f: C\times A \to C \times B$ is an epimorphism as well

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