Among their topics are elementary modifications for curves, interpolations and short exact sequences
, a stronger inductive hypothesis, inductive arguments, and the three exceptional cases.
Those two exact sequences
contain the same information.
consisting of exact sequences
. Let [bar.[delta]]: [H.sub.2](G) [right arrow] [H.sub.1][(N).sub.G] denote the natural map.
In fact, these exact sequences
of events have happened.
The 5' and 3' untranslated regions were obtained by nested PCR with combined specific primers and henipavirus-specific degenerate primers as described (8), and the exact sequences
of the 5' and 3' genome termini were determined by rapid amplification of cDNA ends.
Then we obtain a commutative diagram of exact sequences
They cover complexes of modules, short exact sequences
of complexes, the category K(R-Mod), co-torsion pairs and triplets in C(R-Mod), adjoint functions, model structures, creating co-torsion pairs, minimal complexes, and Cartan and Eilenberg resolutions.
Theorem 4 There exists such an exact sequence
of vector spaces, and it can be explicitly constructed as a direct sum of exact sequences
with exactly two non-zero terms.
The Appendix explains the simple construction of an isomorphism of the middle therm of two exact sequences
of vector bundles, used in the paper.
We present an approach based on the use of exact sequences
of finite element spaces defined with respect to unstructured hexahedral grids.
Their exact sequences
and structural relationships, however, had remained elusive.
In [C1] Chinburg used the four term exact sequences
of prescribed extension class introduced by Tate in ([T2], pp.