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Keywords:
continua; dendroid; retractible
Summary:
A retractible non-locally connected dendroid is constructed.
References:
[1] Charatonik J.J.: On retractible continua. General Topology and its Relations to Modern Analysis and Algebra VI, Proc. Sixth Prague Topological Symposium 1986, Z. Frolík (ed.), Heldermann Verlag, Berlin, 1988, pp. 83-90. MR 0952594 | Zbl 0646.54036
[2] Gordh G.R., Jr., Lum L.: Monotone retracts and some characterizations of dendrites. Proc. Amer. Math. Soc. 59 (1976), 156-158. MR 0423317 | Zbl 0304.54034
[3] Illanes A.: Characterizing dendrites by deformation retractions. Topology Proc. 21 (1996), 129-141. MR 1489193 | Zbl 0890.54037
[4] Illanes A.: Confluent and open retractible continua. preprint. MR 1696562 | Zbl 0928.54033
[5] Lum L.: A characterization of local connectivity in dendroids. Studies in Topology, Academic Press, New York, 1975, pp.331-338. MR 0358739 | Zbl 0306.54050
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