Arc property of Kelley and absolute retracts for hereditarily unicoherent continua

• Autorzy: Janusz J. Charatonik , Włodzimierz J. Charatonik , Janusz R. Prajs
• Języki publikacji: EN

Abstrakty

EN

We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for λ-dendroids, for dendroids) has the arc property of Kelley.

Kategorie tematyczne

• 54F50: Spaces of dimension ≤ 1 ; curves, dendrites
• 54F15: Continua and generalizations
• 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 97
• Numer: 1
• Strony: 49-65

Daty

wydano

2003

Twórcy

autor

Janusz J. Charatonik

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
• Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, 04510 México, D.F., México

autor

Włodzimierz J. Charatonik

• Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409-0020, U.S.A.

autor

Janusz R. Prajs

• Institute of Mathematics, University of Opole, Oleska 48, 45-052 Opole, Poland
• Department of Mathematics, Idaho State University, Pocatello, ID 83209, U.S.A.

Identyfikatory

DOI

10.4064/cm97-1-6