- History
- Applications
- References
- External links
In topology, a discipline within mathematics, the Brown–Gitler spectrum is a spectrum whose cohomology is a certain cyclic module over the Steenrod algebra.[1]
Brown–Gitler spectra are defined by the isomorphism:[2]
History
The concept was introduced by mathematicians Edgar H. Brown and Samuel Gitler in a 1973 paper.[1][3]
In topology, Brown–Gitler spectrum is related to the concepts of Segal conjecture and Burnside ring.[4]
Applications
Brown–Gitler spectra have had many important applications in homotopy theory.[5]
References
1. ^1 {{cite web|url=https://ncatlab.org/nlab/show/Brown-Gitler%20spectrum|title=Brown–Gitler spectrum in nLab|publisher=}}
2. ^{{cite web|url=https://ncatlab.org/nlab/files/GoerssOnBrownGitler.pdf|title=Brown–Gitler Spectra}}
3. ^{{cite journal|first1= Edgar H., Jr. | last1=Brown| author1-link=Edgar H. Brown| first2=Samuel| last2=Gitler|authorlink2=Samuel Gitler Hammer | title=A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra|journal=Topology |volume= 12 |year=1973|pages=283–295|mr=0391071|doi=10.1016/0040-9383(73)90014-1}}
4. ^{{cite web|url=https://books.google.com/books?id=EZYbCAAAQBAJ&pg=PA4&lpg=PA4&dq=brown%20gitler&source=bl&ots=pjj59eg3Z-&sig=kJP13RN6jfftIfDom8LzROZP9Nc&hl=en&sa=X&ved=0ahUKEwjstM2dmuTRAhWBr48KHW5HAvM4ChDoAQgwMAY#v=onepage&q=brown%20gitler&f=false|title=Recent Developments in Algebraic Topology: A Conference to Celebrate Sam Gitler's 70th Birthday, December 3–6, 2003, San Miguel de Allende, México|first1=Samuel|last1=Gitler|authorlink1=Samuel Gitler Hammer | first2=Jesús|last2=González|date=1 January 2006|publisher=American Mathematical Society|via=Google Books}}
5. ^{{cite journal|jstor=2047129|title=Integral Brown–Gitler Spectra|first1=Fred R.|last1=Cohen|first2=Donald M.|last2=Davis|first3=Paul G.|last3=Goerss|first4=Mark E.|last4=Mahowald|authorlink4=Mark Mahowald| date=1 January 1988|publisher=|volume=103|issue=4|pages=1299–1304|doi=10.2307/2047129}}
2. ^{{cite web|url=https://ncatlab.org/nlab/files/GoerssOnBrownGitler.pdf|title=Brown–Gitler Spectra}}
3. ^{{cite journal|first1= Edgar H., Jr. | last1=Brown| author1-link=Edgar H. Brown| first2=Samuel| last2=Gitler|authorlink2=Samuel Gitler Hammer | title=A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra|journal=Topology |volume= 12 |year=1973|pages=283–295|mr=0391071|doi=10.1016/0040-9383(73)90014-1}}
4. ^{{cite web|url=https://books.google.com/books?id=EZYbCAAAQBAJ&pg=PA4&lpg=PA4&dq=brown%20gitler&source=bl&ots=pjj59eg3Z-&sig=kJP13RN6jfftIfDom8LzROZP9Nc&hl=en&sa=X&ved=0ahUKEwjstM2dmuTRAhWBr48KHW5HAvM4ChDoAQgwMAY#v=onepage&q=brown%20gitler&f=false|title=Recent Developments in Algebraic Topology: A Conference to Celebrate Sam Gitler's 70th Birthday, December 3–6, 2003, San Miguel de Allende, México|first1=Samuel|last1=Gitler|authorlink1=Samuel Gitler Hammer | first2=Jesús|last2=González|date=1 January 2006|publisher=American Mathematical Society|via=Google Books}}
5. ^{{cite journal|jstor=2047129|title=Integral Brown–Gitler Spectra|first1=Fred R.|last1=Cohen|first2=Donald M.|last2=Davis|first3=Paul G.|last3=Goerss|first4=Mark E.|last4=Mahowald|authorlink4=Mark Mahowald| date=1 January 1988|publisher=|volume=103|issue=4|pages=1299–1304|doi=10.2307/2047129}}
External links
- {{eom|id=Brown-Gitler_spectra|title=Brown-Gitler_spectra}}
1 : Topology
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- Asagikocayatak, Serik
- Asagikoselerli
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- Asagiri class destroyer