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 sequencesThey 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.