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

Society For Exact Philosophy

... The Society for

... The Society for

**Exact**Philosophy (SEP) is a North American organisation that is devoted to the application of**exact**, rigorous methods in philosophy ...Spectral Sequences - Exact Couples

... The most powerful technique for the construction of spectral

... 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 -

... Using the spectral

**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• ... maps of homology objects Hn(A•) → Hn(B•) → Hn(C•), and we know that this is**exact**in the middle ...Derived Functor - Naturality

... Derived functors and the

... 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 from A to B ...Schanuel's Lemma -

... The above argument may also be generalized to long exact sequences. ...

**Long Exact Sequences**... The above argument may also be generalized to long exact sequences. ...

### Famous quotes containing the words long and/or exact:

“Will no one tell me what she sings?—

Perhaps the plaintive numbers flow

For old, unhappy, far-off things,

And battles *long* ago:”

—William Wordsworth (1770–1850)

“Neither Aristotelian nor Russellian rules give the *exact* logic of any expression of ordinary language; for ordinary language has no *exact* logic.”

—Sir Peter Frederick Strawson (b. 1919)

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