Maps of Absolute Retracts for Tree-like Continua
It is shown that the class AR(TL) of absolute retracts for tree-like continua is invariant with respect to monotone maps. From the pastresults it follows that the inverse limit of trees with con uent bonding mapsis an absolute retract for tree-like (and more generally, hereditarily unico-herent) continua. In this paper we provide the rst example of a member ofAR(TL) that is not such a limit.
W. J. Charatonik and J. R. Prajs, "Maps of Absolute Retracts for Tree-like Continua," Houston Journal of Mathematics, University of Houston, Jan 2011.
Mathematics and Statistics
Keywords and Phrases
continuum; Kelley continuum; absolute retract; monotone map; tree-like
Article - Journal
© 2011 University of Houston, All rights reserved.
01 Jan 2011