Geodesic
Arc property of Kelley and absolute retracts for hereditarily unicoherent continua
Janusz J. Charatonik 1   ; Włodzimierz J. Charatonik 2   ; Janusz R. Prajs 3
1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland and Instituto de Matemáticas, UNAM Circuito Exterior, Ciudad Universitaria 04510 México, D.F., México
2 Department of Mathematics and Statistics University of Missouri-Rolla Rolla, MO 65409-0020, U.S.A.
3 Institute of Mathematics University of Opole Oleska 48 45-052 Opole, Poland and Department of Mathematics Idaho State University Pocatello, ID 83209, U.S.A.
Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 49-65 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\lambda $-dendroids, for dendroids) has the arc property of Kelley.
DOI : 10.4064/cm97-1-6
Keywords: investigate absolute retracts hereditarily unicoherent continua continua have arc property kelley continua satisfy property kelley arc approximation property among other results prove each absolute retract hereditarily unicoherent continua tree like continua lambda dendroids dendroids has arc property kelley

Janusz J. Charatonik  1   ; Włodzimierz J. Charatonik  2   ; Janusz R. Prajs  3

1 Mathematical Institute University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland and Instituto de Matemáticas, UNAM Circuito Exterior, Ciudad Universitaria 04510 México, D.F., México
2 Department of Mathematics and Statistics University of Missouri-Rolla Rolla, MO 65409-0020, U.S.A.
3 Institute of Mathematics University of Opole Oleska 48 45-052 Opole, Poland and Department of Mathematics Idaho State University Pocatello, ID 83209, U.S.A. 
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     title = {Arc property of {Kelley} and absolute retracts
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     journal = {Colloquium Mathematicum},
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 for hereditarily unicoherent continua
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Janusz J. Charatonik; Włodzimierz J. Charatonik; Janusz R. Prajs. Arc property of Kelley and absolute retracts
 for hereditarily unicoherent continua. Colloquium Mathematicum, Tome 97 (2003) no. 1, pp. 49-65. doi: 10.4064/cm97-1-6

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