본문 바로가기
KERD
논문KCI 등재

THE GENERALIZED COGOTTLIEB GROUPS, RELATED ACTIONS AND EXACT SEQUENCES

김재룡|최호원|Nobuyuki Oda
대한수학회 (The Korean Mathematical Society)|2017.09|대한수학회지 (Journal of the KMS)|제54권 제5호|pp. 1623-1639

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

cocyclic mapcoGottlieb group
주제분류수학

초록

The generalized coGottlieb sets are not known to be groups in general. We study some conditions which make them groups. Moreover, there are actions on the generalized coGottlieb sets which are different from known actions up to now. We give related exact sequence of the generalized coGottlieb sets. Using them, we obtain certain results related to the maps which preserve generalized coGottlieb sets.

Abstract

The generalized coGottlieb sets are not known to be groups in general. We study some conditions which make them groups. Moreover, there are actions on the generalized coGottlieb sets which are different from known actions up to now. We give related exact sequence of the generalized coGottlieb sets. Using them, we obtain certain results related to the maps which preserve generalized coGottlieb sets.

참고문헌 (14)

  1. M. Arkowitz, "Introduction to Homotopy Theory, Universitext" (2011), Springer
  2. M. Arkowitz, "Groups of homotopy self-equivalences and related topics", pp.21~32 (2001), Amer. Math. Soc
  3. D. H. Gottlieb, "Evaluation subgroups of homotopy groups", Amer. J. Math, 91, pp.729~756 (1969)
  4. B. Gray, "Homotopy Theory" (1975), Academic Press
  5. H. B. Haslam, "G-spaces and H-spaces", pp.1969
  6. H. B. Haslam, "G-spaces mod F and H-spaces mod F", Duke Math. J, 38, pp.671~679 (1971)
  7. J.-R. Kim, "Cocyclic element preserving pair maps and fibrations", Topology Appl, 191, pp.82~96 (2015)
  8. K. L. Lim, "Cocyclic maps and coevaluation subgroups", Canad. Math. Bull, 30(1), pp.63~71 (1987)
  9. C. R. F. Maunder, "Algebraic Topology" (1980), Cambridge University Press
  10. N. Oda, "The homotopy set of the axes of pairings", Canad. J. Math, 42(5), pp.856~868 (1990)
  11. N. Oda, "Pairings and copairings in the category of topological spaces", Publ. Res. Inst. Math. Sci, 28(1), pp.83~97 (1992)
  12. K. Varadarajan, "Generalised Gottlieb groups", J. Indian Math. Soc, 33, pp.141~164 (1969)
  13. G. W. Whitehead, "Elements of homotopy theory" (1978), Springer-Verlag
  14. Y. S. Yoon, "The generalized dual Gottlieb sets", Topology Appl, 109(2), pp.173~181 (2001)

관련 논문AI추천

CERTAIN GENERALIZATIONS OF G-SEQUENCES AND THEIR EXACTNESS우무하, 이기영, Xuezhi Zhao대한수학회 · 대한수학회보2008 · 제45권 제1호GOTTLIEB SUBSETS WITH RESPECT TO A MORPHISM IN THE CATEGORY OF PAIRS김지연, 이기영대한수학회 · 대한수학회보2010 · 제47권 제6호Self-pair homotopy equivalences related to co-variant functors신혜선, 이기영, 최호원대한수학회 · 대한수학회지2024 · 제61권 제3호Cocyclic morphism sets depending on a morphism in the category of pairs김지연, 이기영대한수학회 · 대한수학회보2019 · 제56권 제6호Generalized Gottlieb subgroups and Serre fibrationsJae-Ryong Kim대한수학회 · 대한수학회보2009 · 제46권 제1호Self-homotopy equivalences of Moore spaces depending on cohomotopy groups오형석, 이기영, 최호원대한수학회 · 대한수학회지2019 · 제56권 제5호

이 간행물의 다른 논문 (13건)

GLOBAL Wp1,2 ESTIMATES FOR NONDIVERGENCE PARABOLIC OPERATORS WITH POTENTIALS SATISFYING A REVERSE HOLDER CONDITIONLin Tang, Guixia Panpp. 1357-1377HILBERT FUNCTIONS OF STANDARD k-ALGEBRAS DEFINED BY SKEW-SYMMETRIZABLE MATRICES강오진pp. 1379-1410CLASSIFICATION OF FREE ACTIONS OF FINITE GROUPS ON 3-DIMENSIONAL NILMANIFOLDS구대환, 신준국, 오명성pp. 1411-1440ALMOST EINSTEIN MANIFOLDS WITH CIRCULANT STRUCTURESIva Dokuzovapp. 1441-1456FOXBY EQUIVALENCE RELATIVE TO C-WEAK INJECTIVE AND C-WEAK FLAT MODULESTiwei Zhao, Zenghui Gaopp. 1457-1482
원문 보기