spectral sequence वाक्य
उदाहरण वाक्य
मोबाइल
- The resulting Adams Novikov spectral sequence is now a basic tool in stable homotopy theory.
- This is true even when many of the terms of the spectral sequence are incalculable.
- The simplest situation in which we can determine convergence is when the spectral sequences degenerates.
- Physicist typically want to calculate twisted K-theory using the Atiyah Hirzebruch spectral sequence.
- Despite this, it is still possible to gain useful information from these two spectral sequences.
- For example, consider the constraint on the Atiyah-Hirzebruch spectral sequence ( AHSS ):
- The Tohoku paper also introduced the Grothendieck spectral sequence associated to the composition of derived functors.
- Leray's work of this period proved seminal to the development of spectral sequences and sheaves.
- While this can be verified without a spectral sequence, it is very easy with spectral sequences.
- While this can be verified without a spectral sequence, it is very easy with spectral sequences.
- A similar spectral sequence exists for group homology, as opposed to group cohomology, as well.
- In the case studied by Lichtenbaum, the spectral sequence would degenerate, yielding Lichtenbaum's conjecture.
- Putting the zero differential on all the rest of our sheets gives a spectral sequence whose terms are:
- For example, this is true of the spectral sequence of a double complex, explained below .)
- In most spectral sequences, the E _ \ infty term is not naturally a doubly graded object.
- Using the spectral sequence of a filtered complex, we can derive the existence of long exact sequences.
- More specifically, the " E " 2 term of this spectral sequence may be identified as
- This is precisely the Atiyah-Hirzebruch spectral sequence construction of twisted K-theory as a set.
- These filtrations are of particular interest because the Adams (-Novikov ) spectral sequence converges to them.
- Unfortunately, because of the large amount of information carried in spectral sequences, they are difficult to grasp.
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