Hyperspaces of Peano continua of euclidean spaces

• Autorzy: Helma Gladdines , Jan van Mill
• Języki publikacji: EN

Abstrakty

EN

If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space $L(ℝ^n)$ is homeomorphic to $B^∞$, where B denotes the pseudo-boundary of the Hilbert cube Q.

Słowa kluczowe

EN

Hilbert cube; Hilbert space; absorbing system; Z-set; $F_{σδ}$; hyperspace; Peano continuum; $ℝ^n$

Kategorie tematyczne

• 57N20: Topology of infinite-dimensional manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1993
• Tom: 142
• Numer: 2
• Strony: 173-188

Daty

wydano

1993

otrzymano

1992-04-07

Twórcy

autor

Helma Gladdines

• Faculteit Wiskunde en Informatica, Vrije Universiteit de Boelelaan, 1081a Amsterdam, The Netherlands

autor

Jan van Mill

• Faculteit Wiskunde en Informatica, Vrije Universiteit de Boelelaan, 1081a Amsterdam, The Netherlands

Bibliografia

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