Katsuro Sakai

  1. Spaces of maps into topological group with the Whitney topology.

    Authors: Taras Banakh, Kotaro Mine, Katsuro Sakai, Tatsuhiko Yagasaki
    Subjects: Geometric Topology
    Abstract

    Let X be a locally compact Polish space and G a non-discrete Polish ANR
    group. By C(X,G), we denote the topological group of all continuous maps f:X
    \to G endowed with the Whitney (graph) topology and by C_c(X,G) the subgroup
    consisting of all maps with compact support. It is known that if X is compact
    and non-discrete then the space C(X,G) is an l_2-manifold.

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