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Hf -Spaces for Maps and Their Duals

윤연수
한국수학교육학회|2007.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제14권 제4호|pp. 289-306

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Abstract

We define and study a concept of Hf -space for a map, which is a gener- alized concept of an H-space, in terms of the Gottlieb set for a map. For a principal fibration Ek ! X induced by k : X ! X′ from ǫ : PX′ ! X′, we can obtain a sufficient condition to having an H ¯ f -structure on Ek, which is a generalization of Stasheff’s result [17]. Also, we define and study a concept of co-Hg-space for a map, which is a dual concept of Hf -space for a map. Also, we get a dual result which is a generalization of Hilton, Mislin and Roitberg’s result [6].

참고문헌 (14)

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  2. "Evaluation subgroups of homotopy groups", pp.729~756 (1969)
  3. "On maps into a co-H-space", pp.321~327
  4. "Induced maps for Postnikov systems", pp.432~450 (1963)
  5. "A note onH-spaces and Postnikov systems of spheres", pp.30~307 (1964)
  6. "Cohomology operations and aplications in homotopytheory" (1968)
  7. "On the xistence and clasication of co-H-structures", pp.103~1 (1979)
  8. "The homotopy of the axes of pairings", pp.856~868
  9. "On the homotopy type of polyhedra", pp.789~76 791 (1951)
  10. "Elements of homotopy theory" (1978), Springer-Verlag New York Inc
  11. "T-spaces by the Gotlieb groups and uality"
  12. "The generalized dual Gottlieb sets", 109, pp.173~181 (2001)
  13. "Generalized Gottlieb groups and generalized Wang homomorphisms", 55(1), pp.139~148 (2002)
  14. "v-semicyclic maps and fuction spaces", 9, pp.77~87 (1996)

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