- In
homological algebra, the
hyperhomology or
hypercohomology ( H β ( β ) , H β ( β ) {\displaystyle \mathbb {H} _{*}(-),\mathbb {H} ^{*}(-)} ) is a generalization...
-
spectral sequences relating the
possible hyperhomology groups of two
chain complexes of
sheaves and the
hyperhomology groups of
their tensor product. There...
-
stands for Hamilton), or the
upper half-plane, or
hyperbolic space, or
hyperhomology of a complex. I {\displaystyle \mathbb {I} } U+1D540 π The
closed unit...
- can also
define right hyper-derived
functors for left
exact functors.
Hyperhomology Weibel,
Charles A. (1994), An
introduction to
homological algebra, Cambridge...
-
spectral sequence for
composing derived functors Hyperhomology spectral sequence for
calculating hyperhomology. KΓΌnneth
spectral sequence for
calculating the...
-
projective and
injective resolution of a module,
derived functor and
hyperhomology appear in this book for the
first time. 1956
Daniel Kan
Simplicial homotopy...
- F^{i}A^{\bullet }\end{aligned}}}
There is an
induced mixed Hodge structure on the
hyperhomology groups ( H k ( X , A β ) , W β , F β ) {\displaystyle (\mathbb {H} ^{k}(X...
- each term on the
right means: take the
complex IC of
sheaves whose hyperhomology is the
intersection homology of the
Schubert variety of w (the closure...
