Question

An example to show that this is not a cohomology theory if $R$ is not a field.

score 114 · Answer 1 · 2020-08-05 18:19:15

114

Views

An example to show that this is not a cohomology theory if $R$ is not a field.

Published on 05 Aug 2020 - 18:19

score 48 · Answer 2 · 2020-08-07 05:27:09

48

Views

Pairing Cohomology with Homology on pg.510 in "Modern classical homotopy theory".

Published on 07 Aug 2020 - 5:27

score 80 · Answer 3 · 2026-03-26 12:57:53

80

Views

Is there a sense in which $\tilde{K}$ is an exact functor?

Published on 26 Mar 2026 - 12:57

score 235 · Answer 4 · 2020-08-11 16:02:25

235

Views

Eilenberg Steenrod axioms of homology not a natural transformation?

Published on 11 Aug 2020 - 16:02

score 64 · Answer 5 · 2020-08-14 06:53:17

64

Views

Isomorphism of functors in additive categories

Published on 14 Aug 2020 - 6:53

score 331 · Answer 6 · 2020-08-19 13:43:27

331

Views

Fibrant replacement functor

Published on 19 Aug 2020 - 13:43

score 110 · Answer 7 · 2020-08-25 15:06:27

110

Views

Is the forgetful functor of the category of models of a theory an isofibration?

Published on 25 Aug 2020 - 15:06

score 62 · Answer 8 · 2020-08-28 22:14:41

62

Views

Confusion about specification of functors

Published on 28 Aug 2020 - 22:14

score 238 · Answer 9 · 2020-09-01 01:18:27

238

Views

A functor of two categories, from category of ring, sending to its group of units, which is neither faithful nor full

Published on 01 Sep 2020 - 1:18

score 28 · Answer 10 · 2020-09-01 06:24:32

28

Views

Is there a name for arrows not in the image of a nonfull functor?

Published on 01 Sep 2020 - 6:24

score 377 · Answer 11 · 2020-09-03 22:28:56

377

Views

What is the distinction between morphism and functor really?

Published on 03 Sep 2020 - 22:28

score 113 · Answer 12 · 2026-03-27 00:38:54

113

Views

Is there a unique natural transformation of functors $t : F \to F'$ such that $t(U) = T(\text{Id}_F(U))$?

Published on 27 Mar 2026 - 0:38

score 281 · Answer 13 · 2026-03-26 01:04:43

281

Views

What's the meaning of defining a functor in a natural way?

Published on 26 Mar 2026 - 1:04

score 81 · Answer 14 · 2020-09-09 14:24:50

81

Views

If $f : X \longmapsto Y$ then $f_{*} : \pi_{1}(X,a) \longmapsto \pi_{1}(Y,f(a))$ is an isomorphism

Published on 09 Sep 2020 - 14:24

score 77 · Answer 15 · 2020-09-12 15:54:54

77

Views

$n$-functors between $n$-categories and compositions of $1$-morphisms

Published on 12 Sep 2020 - 15:54

List Question

An example to show that this is not a cohomology theory if $R$ is not a field.

Pairing Cohomology with Homology on pg.510 in "Modern classical homotopy theory".

Is there a sense in which $\tilde{K}$ is an exact functor?

Eilenberg Steenrod axioms of homology not a natural transformation?

Isomorphism of functors in additive categories

Fibrant replacement functor

Is the forgetful functor of the category of models of a theory an isofibration?

Confusion about specification of functors

A functor of two categories, from category of ring, sending to its group of units, which is neither faithful nor full

Is there a name for arrows not in the image of a nonfull functor?

What is the distinction between morphism and functor really?

Is there a unique natural transformation of functors $t : F \to F'$ such that $t(U) = T(\text{Id}_F(U))$?

What's the meaning of defining a functor in a natural way?

If $f : X \longmapsto Y$ then $f_{*} : \pi_{1}(X,a) \longmapsto \pi_{1}(Y,f(a))$ is an isomorphism

$n$-functors between $n$-categories and compositions of $1$-morphisms

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