Academic Journal
Προβολή σε EDS

A spectral sequence for polyhedral products.

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: Academic Search Index
FullText Links:
  – Type: other
Text:
  Availability: 0
CustomLinks:
  – Url: https://www.doi.org/10.1016/j.aim.2016.12.028?
    Name: ScienceDirect (all content) (s7799221)
    Category: fullText
    Text: View record from ScienceDirect
    MouseOverText: View record from ScienceDirect
Header DbId: asx
DbLabel: Academic Search Index
An: 120924883
RelevancyScore: 1223
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1223.46691894531
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: A spectral sequence for polyhedral products.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bahri%2C+A%2E%22">Bahri, A.</searchLink><relatesTo>1</relatesTo><i> bahri@rider.edu</i><br /><searchLink fieldCode="AR" term="%22Bendersky%2C+M%2E%22">Bendersky, M.</searchLink><relatesTo>2</relatesTo><i> mbenders@hunter.cuny.edu</i><br /><searchLink fieldCode="AR" term="%22Cohen%2C+F%2ER%2E%22">Cohen, F.R.</searchLink><relatesTo>3</relatesTo><i> fred.cohen@rochester.edu</i><br /><searchLink fieldCode="AR" term="%22Gitler%2C+S%2E%22">Gitler, S.</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Advances+in+Mathematics%22">Advances in Mathematics</searchLink>. Feb2017, Vol. 308, p767-814. 48p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Polyhedral+functions%22">Polyhedral functions</searchLink><br />*<searchLink fieldCode="DE" term="%22Homology+theory%22">Homology theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+decomposition%22">Mathematical decomposition</searchLink><br />*<searchLink fieldCode="DE" term="%22Angular+momentum+%28Mechanics%29%22">Angular momentum (Mechanics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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]
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=120924883
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.aim.2016.12.028
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 48
        StartPage: 767
    Subjects:
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Polyhedral functions
        Type: general
      – SubjectFull: Homology theory
        Type: general
      – SubjectFull: Mathematical decomposition
        Type: general
      – SubjectFull: Angular momentum (Mechanics)
        Type: general
    Titles:
      – TitleFull: A spectral sequence for polyhedral products.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bahri, A.
      – PersonEntity:
          Name:
            NameFull: Bendersky, M.
      – PersonEntity:
          Name:
            NameFull: Cohen, F.R.
      – PersonEntity:
          Name:
            NameFull: Gitler, S.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 21
              M: 02
              Text: Feb2017
              Type: published
              Y: 2017
          Identifiers:
            – Type: issn-print
              Value: 00018708
          Numbering:
            – Type: volume
              Value: 308
          Titles:
            – TitleFull: Advances in Mathematics
              Type: main
ResultId 1