Tag: chain-complexes

38 Motivating the category of chain complexes 2011-06-21T04:26:36.227

25 Complete the following sequence: point, triangle, octahedron, . . . in a dg-category 2016-04-17T21:33:26.763

21 Are there "chain complexes" and "homology groups" taking values in pairs of topological spaces? 2013-06-22T00:21:30.247

19 how to make the category of chain complexes into an $\infty$-category 2012-04-13T15:57:10.490

18 Why chain homotopy when there is no topology in the background? 2011-03-23T22:22:05.340

16 Is there a notion of a chain complex with corners? 2012-10-21T11:56:58.483

13 Singular chains generated by manifolds with corners --- does it really work? 2014-02-16T21:40:51.000

13 Lift chain complex from $\mathbb{F}_2$ to $\mathbb{Z}$ 2014-04-14T15:31:42.097

12 What are normalized singular chains good for? 2010-06-10T18:10:17.303

12 Are totally degenerate chains null-homologous? 2014-02-18T23:10:47.407

12 Can we use unparameterized chains to calculate singular homology? 2014-02-21T06:24:42.033

11 Is it possible to take "limits up to homotopy"? 2013-07-25T02:49:15.030

10 Explicit description of the "simplicial tensor product" of chain complexes 2012-04-20T07:03:22.153

9 Module category equivalent to graded module category? 2012-01-12T17:02:09.547

8 Left adjoint of totalization? 2012-06-11T08:19:50.197

8 Is there a practical criterion to determine whether the limit of a diagram of real chain complexes is also a homotopy limit? 2013-11-20T18:04:18.160

7 Is there a good computer package for working with complexes over non-commutative rings? 2009-10-05T14:47:37.010

7 On the difference between a projective chain complex and a level-wise projective chain complex 2012-07-31T06:02:39.587

7 Injective model structure on sheaves of bounded complexes of $A$-modules 2015-08-30T18:33:38.860

6 Reference for homotopy (co)limits of (co)chain complexes via totalization of double complexes 2015-01-15T16:33:14.037

6 Is there an obstruction which classifies "quasi-isomorphism but not chain equivalence"? 2016-02-24T17:09:53.390

6 (Reference Request) Tensor product of chain complexes in terms of strict $\infty$-categories 2018-02-05T10:42:59.243

5 Resolutions of unbounded complexes and homotopy (co)limits. 2012-11-14T05:29:12.167

5 Sign problem for the shift functor on DG modules 2014-02-23T19:53:53.867

5 Transgression in terms of k-invariant for chain complexes 2015-11-16T05:45:31.017

3 Reference Request: The Categorification of $\mathbb{Z}$ as cochain complexes of vector spaces 2012-09-11T05:20:04.203

3 how to make the category of chain complexes into an $(\infty,1)$-category 2013-06-01T23:53:22.660

3 Smith Normal Form for block matrix 2014-08-21T23:36:32.113

2 Proving homotopy invariance of cellular homology by constructing a chain homotopy 2010-07-11T16:35:24.053

2 Why chain complexes? 2011-07-08T13:34:22.503

2 Endomomorphisms of Chain Complexes of vector spaces and determinants 2012-12-30T17:51:38.457

2 Question on resolutions for arbitrary chain complexes. 2013-02-16T18:12:50.050

2 pure sub-complexes of exact subcomplexes 2013-09-10T06:19:34.137

2 Brutal truncation of indecomposable complexes 2013-10-09T11:30:13.800

2 when does a "triangulated" functor factor over the homotopy category? 2014-04-21T14:51:23.517

2 Is a inverse limit of indecomposable again indecomposable? 2014-08-27T21:08:54.380

2 How to prove that any perfect complex on an affine scheme is strictly perfect? 2015-03-09T22:12:25.990

2 Is the class of acyclic complexes deconstructible? 2015-06-30T09:18:00.507

2 A question on some lemmas in Orlov's "Triangulated Categories of Singularities and D-Branes in Landau-Ginzburg Models" (Exts vanishing) 2018-01-21T01:26:13.277

2 A model category structure on chain complexes 2018-04-26T04:43:01.993

2 A-infinity modules 2018-06-23T03:34:15.983

2 Order relation between cohomology groups 2018-10-20T17:15:16.213

2 How does "chain complex functor" from $Top$ take mapping cones to mapping cones? 2018-11-11T13:06:37.910

1 Extending Reedy dimension to augmented chain complexes of abelian groups 2011-12-18T05:50:26.997

1 Two-point desuspension for augmented chain complexes? 2012-06-01T05:05:16.137

1 Terminology: complex of sheaves with cohomology sheaves concentrated in degree zero 2013-05-18T02:30:36.100

1 Dold-Kan preserves weak equivalences and fibrations 2013-06-28T13:28:21.150

1 Are chain complexes over a field always injective? 2015-02-24T19:21:17.463

1 Derivators - diagrams in homotopy category of chain complexes 2016-11-19T15:53:51.440

1 Are mapping cones in the bounded homotopy category of chain complexes isomorphic? 2017-03-21T16:53:42.410

1 Sheaves and isomorphisms with chain complex of singular chains (Sheaf Theory, Bredon) 2017-05-06T14:33:38.877

1 Generating $K^b(\mathrm{proj})$ as a triangulated category from a full subcategory 2017-07-10T19:56:00.270

0 Homomophism from Koszul complex to the original ring 2011-10-24T02:35:32.253

0 Quick question on chain maps and maps induced by truncations. 2013-01-19T00:32:56.500

0 Torsion in cohomology 2015-02-24T11:28:46.357

0 Perfect $Q[G]$-complex 2015-12-15T23:36:48.077

0 Relation between different definitions of homotopy 2016-11-10T16:54:07.943

0 Cochain homotopy from topological right homotopy 2018-06-09T11:36:10.287

-1 How does a chain map induce another chain map on an isomorphic chain complex? 2011-04-22T17:03:47.643