Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
A spectral sequence for polyhedral products. |
| Συγγραφείς: |
Bahri, A.1 bahri@rider.edu, Bendersky, M.2 mbenders@hunter.cuny.edu, Cohen, F.R.3 fred.cohen@rochester.edu, Gitler, S. |
| Πηγή: |
Advances in Mathematics. Feb2017, Vol. 308, p767-814. 48p. |
| Θεματικοί όροι: |
*Spectral sequences (Mathematics), *Polyhedral functions, *Homology theory, *Mathematical decomposition, *Angular momentum (Mechanics) |
| Περίληψη: |
The purpose of this paper is to exhibit fine structure for polyhedral products Z ( K ; ( X _ , A _ ) ) and polyhedral smash products Z ˆ ( K ; ( X _ , A _ ) ) where moment-angle complexes are special cases in which ( X , A ) = ( D 2 , S 1 ) . There are three main parts to this paper. (1) One part gives a natural filtration of the polyhedral product together with properties of the resulting spectral sequence in Theorem 2.15 . Applications of this spectral sequence are given. (2) The second part gives a homological decomposition of Z ˆ ( K ; ( X _ , A _ ) ) in case ( X _ , A _ ) consists of CW pairs by using part 1. (3) Applications to the ring structure of Z ( K ; ( X _ , A _ ) ) are given for CW-pairs ( X , A ) satisfying suitable freeness conditions. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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