Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A sequence of abelian groups and homomorphisms that is exact at every term and is infinite in both directions or one direction
|
| gptkbp:example |
Cohomology long exact sequence of a pair
Homology long exact sequence of a pair Long exact sequence in homotopy |
| gptkbp:field |
gptkb:Algebraic_topology
Homological algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Long exact sequence
|
| gptkbp:property |
Exactness at every term
Sequence of abelian groups and homomorphisms |
| gptkbp:relatedTo |
gptkb:Cohomology
gptkb:Chain_complex Homology Short exact sequence |
| gptkbp:usedIn |
gptkb:Ext_functor
gptkb:Tor_functor gptkb:Mayer–Vietoris_sequence Derived functors Connecting homomorphism Five lemma Snake lemma |
| gptkbp:bfsParent |
gptkb:Spectral_sequences
gptkb:Cohomology_group gptkb:Cohomology_theory |
| gptkbp:bfsLayer |
7
|