ON SET-VALUED MAPS AND HYPERSPACES

  • 발행 : 2001.05.01

초록

Let X be a T-admissible space and A(x) be the set of all admissible fibers at x∈X. In this paper, we introduce some basic concepts, properties, and known results about set-valued maps, hyperspaces and especially T-admissible spaces. And then, we construct a certain set-valued map(Theorem 2.3) and an arc from {x} to X∈A(x) in use of the set-valued maps(Theorem 2.3 through Theorem 2.7).

키워드

참고문헌

  1. Aspects of Topology C.O.Christenson;W.L.Voxman
  2. J. Kor. math. Soc. v.29 no.2 Set-valued contractibility of hyperspaces K.Hur;S.W.Lee;P.K.Lim;C.J.Rhee
  3. Trans. Amer. Math. Soc. v.52 Hyperspaces of a continuum J.L.Kelley
  4. TopologyⅠ.Ⅱ K.Kuratowski
  5. Hyperspace of sets S.B.Nadler,Jr.
  6. Topology Proc. v.8 An admissible condition for contractible hyperspace T.Nishiura;C.J.Rhee
  7. Houston Math. J. v.8 Contractibility of the hyperspace of subcontinua T.Nishiura;C.J.Rhee
  8. Bull. de la Soc. Royale des Sciences de Liege v.56 M-set and contraction C(X) C.J.Rhee
  9. Topology Proc. v.10 Obstructing sets for hyperspace contraction C.J.Rhee
  10. Topology Proc. v.7 On a contractible hyperspace condition C.J.Rhee
  11. Annals of Math. v.34 Regular families of curves H.Whitney