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초록· 키워드
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The algebraic structure of the natural integral cohomology operations is explored by means of examples. We decompose the generators of the groups Hm(Z, n) with 2 ≤ n ≤ 7 and 2 ≤ m ≤ 13 into the operations of cup products, cross-cap products and compositions.
Examination of these decompositions and comparison with other possible generators demonstrates the existence of relations between integral operations that have withheld formulation. The calculated groups and generators are collected in a table for practical reference.
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참고문헌 (9)
참고문헌 신청
A. Percy / 2004 / An Eckmann-Hilton dual to the Π-algebras of homotopy theory / Illinois J. Math. 48 (4) : 1305 ~ 1320
H. Cartan / 1954 / Sur les groupes d'Eilenberg-Mac Lane. Ⅱ / Proc. Nat. Acad. Sci. U. S. A. 40 : 704 ~ 707
H. Toda / 1962 / Composition Methods in Homotopy Groups of Spheres / Princeton University Press
J. McCleary / 1985 / User's Guide To Spectral Sequences / Publish or Perish, Inc.
J. P. May / 1970 / A general algebraic approach to Steenrod operations, The Steenrod Algebra and its Applications / Proc. Conf. to Celebrate N. E. Steenrod's Sixtieth Birthday : 15
H. Cartan / 1954 / Sur les groupes d'Eilenberg-Mac Lane. Ⅱ / Proc. Nat. Acad. Sci. U. S. A. 40 : 704 ~ 707
H. Toda / 1962 / Composition Methods in Homotopy Groups of Spheres / Princeton University Press
J. McCleary / 1985 / User's Guide To Spectral Sequences / Publish or Perish, Inc.
J. P. May / 1970 / A general algebraic approach to Steenrod operations, The Steenrod Algebra and its Applications / Proc. Conf. to Celebrate N. E. Steenrod's Sixtieth Birthday : 15
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