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  • RATIONAL VISIBILITY OF A LIE GROUP IN THE MONOID OF SELF-HOMOTOPY EQUIVALENCES OF A HOMOGENEOUS SPACE

    Kuribayashi Katsuhiko

    … The adjoint to the action gives rise to a map from G to the monoid of self-homotopy equivalences of M. … The purpose of this paper is to investigate the injectivity of the homomorphism which is induced by the adjoint map on the rational homotopy group. …

    HOMOLOGY HOMOTOPY AND APPLICATIONS 13(1), 349-379, 2011

    IR 

  • Rational homotopy theory and differential graded category

    Moriya Syunji

    … We propose a generalization of Sullivan's de Rham homotopy theory to non-simply connected spaces. … The formulation is such that the real homotopy type of a manifold should be the closed tensor dg-category of flat bundles on it much the same as the real homotopy type of a simply connected manifold is the de Rham algebra in original Sullivan's theory. …

    Journal of Pure and Applied Algebra 214(2), 422-439, 2010-04

    IR 

  • Erratum to "The homotopy of spaces of maps between real projective spaces"

    YAMAGUCHI Kohhei

    Journal of the Mathematical Society of Japan 59(4), 1235-1237, 2007-10-01

    J-STAGE  References (3)

  • The homotopy of spaces of maps between real projective spaces

    YAMAGUCHI Kohhei

    … We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in [<b>5</b>], [<b>8</b>] and [<b>12</b>]. … In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly. …

    Journal of the Mathematical Society of Japan 58(4), 1163-1184, 2006-10-01

    J-STAGE  References (12) Cited by (1)

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