What are long exact sequences?

Some articles on long exact sequences, exact, sequences, sequence, exact sequence:

Schanuel's Lemma - Long Exact Sequences
... The above argument may also be generalized to long exact sequences. ...
Derived Functor - Naturality
... Derived functors and the long exact sequences are "natural" in several technical senses ... (where the rows are exact), the two resulting long exact sequences are related by commuting squares Second, suppose η F → G is a natural transformation from the left exact functor F to the left exact functor G ... induced, and indeed Ri becomes a functor from the functor category of all left exact functors from A to B to the full functor category of all functors ...
Spectral Sequences - Exact Couples
... The most powerful technique for the construction of spectral sequences is William Massey's method of exact couples ... Exact couples are particularly common in algebraic topology, where there are many spectral sequences for which no other construction is known ... In fact, all known spectral sequences can be constructed using exact couples ...
Spectral Sequences - Examples of Degeneration - The Spectral Sequence of A Filtered Complex, Continued - Long Exact Sequences
... Using the spectral sequence of a filtered complex, we can derive the existence of long exact sequences ... Choose a short exact sequence of cochain complexes 0 → A• → B• → C• → 0, and call the first map f• A• → B• ... → Hn(B•) → Hn(C•), and we know that this is exact in the middle ...
Society For Exact Philosophy
... The Society for Exact Philosophy (SEP) is a North American organisation that is devoted to the application of exact, rigorous methods in philosophy ...

Famous quotes containing the words long and/or exact:

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