Hyperspaces of universal curves and 2-cells are true $F_{σδ}$-sets

• Autorzy: Paweł Krupski
• Języki publikacji: EN

Abstrakty

EN

It is shown that the following hyperspaces, endowed with the Hausdorff metric, are true absolute $F_{σδ}$-sets:
(1) ℳ ²₁(X) of Sierpiński universal curves in a locally compact metric space X, provided ℳ ²₁(X) ≠ ∅ ;
(2) ℳ ³₁(X) of Menger universal curves in a locally compact metric space X, provided ℳ ³₁(X) ≠ ∅ ;
(3) 2-cells in the plane.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 54F15: Continua and generalizations
• 54B20: Hyperspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 1
• Strony: 91-98

Daty

wydano

2002

Twórcy

autor

Paweł Krupski

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm91-1-7