×

zbMATH — the first resource for mathematics

On retractible continua. (English) Zbl 0646.54036
General topology and its relations to modern analysis and algebra VI, Proc. 6th Symp., Prague/Czech. 1986, Res. Expo. Math. 16, 83-90 (1988).
[For the entire collection see Zbl 0632.00016.]
A metric continuum X is called retractible provided that each of its subcontinua is a retract of X. It is known that such continua are 1- dimensional, as well as that hereditarily locally connected continua are retractible. It follows that the class of all retractible continua has neither a model in the class of all continua nor a universal element.
Reviewer: J.Grispolakis

MSC:
54F15 Continua and generalizations
54C15 Retraction