The spaces of closed convex sets in Euclidean spaces with the fell topology

• Autorzy: Sakai K. , Yang Z.
• Języki publikacji: EN

Abstrakty

EN

Let ConvF(Rn) be the space of all non-empty closed convex sets in Euclidean space Rn endowed with the Fell topology. We prove that ConvF(lRn) ≈ Rn x Q for every n > 1 whereas ConvF(R) ≈ R x I.

Słowa kluczowe

EN

hyperspace; closed convex sets; Euclidean space; Fell topology; Hilbert cube

PL

hiperprzestrzeń; zbiór wypukły domknięty; przestrzeń Euklidesa; topologia Fella; kostka Hilberta

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 2
• Strony: 139--143
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Sakai K.

autor

Yang Z.

• Institute of Mathematics, University of Tsukuba, Ikikuba, 305-8571, Japan,

Bibliografia

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• [6] K. Sakai and M. Yaguchi, The AR-property of the spaces of closed convex sets, Colloq. Math. 106 (2006), 15-24.
• [7] K. Sakai and Z. Yang, Hyperspaces of non-compact metrizable space which are homeomorphic to the Hilbert cube, Topology Appl. 127 (2002), 331-342.
• [8] H. Toruńczyk, On CE-images of the Hilbert cube and characterizations of Q-manfolds, Fund. Math. 106 (1980), 31-40.
• [9] Z. Q. Yang and K. Sakai, The space of limits of continua in the Fell topology, Houston J. Math. 29 (2003), 325-335.