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Hereditarily Unicoherent Continua and Their Absolute Retracts

Authors :
Włodzimierz J. Charatonik
Janusz R. Prajs
Janusz J. Charatonik
Source :
Rocky Mountain J. Math. 34, no. 1 (2004), 83-110
Publication Year :
2004
Publisher :
Rocky Mountain Mathematics Consortium, 2004.

Abstract

We investigate absolute retracts for classes of hereditarily unicoherent continua, tree-like continua, λdendroids, dendroids and some other related ones. The main results are: (1) the inverse limits of trees with confluent bonding mappings are absolute retracts of hereditarily unicoherent continua; (2) each tree-like continuum is embeddable in a special way in a tree-like absolute retract for the class of hereditarily unicoherent continua; (3) a dendroid is an absolute retract for hereditarily unicoherent continua if and only if it can be embedded as a retract into the Mohler-Nikiel universal smooth dendroid.

Details

ISSN :
00357596
Volume :
34
Database :
OpenAIRE
Journal :
Rocky Mountain Journal of Mathematics
Accession number :
edsair.doi.dedup.....c2b1638af2fd5e823d27917368b7cc33