Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp
Abstract
In this study we give some formulas for the action of the Steenrod Powers on certain monomials and some polynomials having these monomials as a factor in the polynomials algebra P(n) = Zp [x1; : : : ; xn], deg (xi) = 2, i = 1; : : : ; n and p is an odd prime. Also, we give some new family of hit polynomials.
Keywords
Kaynakça
- Steenrod, N.E., Products of cocycles and extensions of mappings, 48 (1947), 290-320.
- Steenrod, N.E., Cycles reduced powers of cohomology classes, Proc. Nat. Acad. Sci. U.S.A, 39 (1953), 217-223.
- Adams, J. F., On the non-existence of elements of Hopf invariant one, Ann. of Math., 72 (1960), 20-104.
- Steenrod, N.E., Whitehead, J.H.C., Vector elds on the n-sphere, Proc.Nat. Acad. Sci. U.S.A., 37 (1951), 58-63.
- Adams, J.F., On the structure and applications of the Steenrod algebra, Comm. Math. Helv., 32 (1958), 180-214.
- Adem, J., The iteration of Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A, 38 (1952), 720-726.
- Cartan, H., Sur les groupes d'Eilenberg-Mac Lane. II, Proc. Nat. Acad. Sci. U.S.A, 40 (1954), 704-707.
- Cartan, H., Sur l'itration des oprations de Steenrod, Comment. Math. Helv., 29(1) (1955), 40-58.
Ayrıntılar
Birincil Dil
İngilizce
Konular
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Bölüm
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Yayımlanma Tarihi
19 Mart 2014
Gönderilme Tarihi
26 Haziran 2013
Kabul Tarihi
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Yayımlandığı Sayı
Yıl 2013 Cilt: 4 Sayı: 0