Question

Polynomial functors, Type Theory and Homotopy

score 96 · Answer 1 · 2021-03-12 01:28:53

96

Views

Polynomial functors, Type Theory and Homotopy

Published on 12 Mar 2021 - 1:28

score 148 · Answer 2 · 2021-03-16 15:38:28

148

Views

Universal Property of the functor $q:\mathbf{TOP}\rightarrow \mathbf{HO(TOP)}$

Published on 16 Mar 2021 - 15:38

score 470 · Answer 3 · 2026-03-27 16:55:17

470

Views

Connection between universal properties and the existence of a left adjoint

Published on 27 Mar 2026 - 16:55

score 487 · Answer 4 · 2026-03-25 20:09:48

487

Views

pair homotopic maps induce the same homology

Published on 25 Mar 2026 - 20:09

score 82 · Answer 5 · 2026-03-26 02:44:47

82

Views

The functor $U\circ C:\mathbf{Top}^{op}\to \mathbf{Set}$ is representable

Published on 26 Mar 2026 - 2:44

score 125 · Answer 6 · 2026-03-25 05:10:00

125

Views

Kernel of $\phi \colon $Hom$_R(\prod_{i \in I}A_i, B) \to \prod_{i \in I}\text{Hom}_R(A_i, B)$ is isomorphic to Hom$_R(\prod A_i/\sum^\oplus A_i, B)$.

Published on 25 Mar 2026 - 5:10

score 78 · Answer 7 · 2021-04-03 14:49:31

78

Views

Definition of functor through diagram

Published on 03 Apr 2021 - 14:49

score 96 · Answer 8 · 2021-04-05 17:58:59

96

Views

What does it mean that a functor preserves infinite limits?

Published on 05 Apr 2021 - 17:58

score 135 · Answer 9 · 2021-04-10 00:46:30

135

Views

Why doesn't right exactness of a functor (say tensor product) imply exact?

Published on 10 Apr 2021 - 0:46

score 33 · Answer 10 · 2021-04-10 18:05:17

33

Views

Having trouble with the definition of functors in terms of nerves

Published on 10 Apr 2021 - 18:05

score 153 · Answer 11 · 2021-04-11 14:29:21

153

Views

Restriction functor from sheaves on $X$ to sheaves on basis is an equivalence of categories

Published on 11 Apr 2021 - 14:29

score 133 · Answer 12 · 2021-04-11 17:09:08

133

Views

What is the right derived functor of $\lim_\leftarrow$?

Published on 11 Apr 2021 - 17:09

score 95 · Answer 13 · 2021-04-12 10:18:54

95

Views

Subobject classifier in $Sets^Q$

Published on 12 Apr 2021 - 10:18

score 46 · Answer 14 · 2021-04-12 19:36:57

46

Views

What are the morphisms in $\mathbf{Fun}(\mathbb N,\text{Ab})$? And am I correct about this?

Published on 12 Apr 2021 - 19:36

score 282 · Answer 15 · 2021-04-14 19:59:53

282

Views

Is there a simple interpretation of a ring action like a group or monoid one?

Published on 14 Apr 2021 - 19:59

List Question

Polynomial functors, Type Theory and Homotopy

Universal Property of the functor $q:\mathbf{TOP}\rightarrow \mathbf{HO(TOP)}$

Connection between universal properties and the existence of a left adjoint

pair homotopic maps induce the same homology

The functor $U\circ C:\mathbf{Top}^{op}\to \mathbf{Set}$ is representable

Kernel of $\phi \colon $Hom$_R(\prod_{i \in I}A_i, B) \to \prod_{i \in I}\text{Hom}_R(A_i, B)$ is isomorphic to Hom$_R(\prod A_i/\sum^\oplus A_i, B)$.

Definition of functor through diagram

What does it mean that a functor preserves infinite limits?

Why doesn't right exactness of a functor (say tensor product) imply exact?

Having trouble with the definition of functors in terms of nerves

Restriction functor from sheaves on $X$ to sheaves on basis is an equivalence of categories

What is the right derived functor of $\lim_\leftarrow$?

Subobject classifier in $Sets^Q$

What are the morphisms in $\mathbf{Fun}(\mathbb N,\text{Ab})$? And am I correct about this?

Is there a simple interpretation of a ring action like a group or monoid one?

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