Geodesic
An example related to strongly pointwise self-homeomorphic dendrites
Archivum mathematicum, Tome 35 (1999) no. 2, pp. 151-154.

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Such spaces in which a homeomorphic image of the whole space can be found in every open set are called self-homeomorphic. W.J. Charatonik and A. Dilks posed a problem related to strongly pointwise self-homeomorphic dendrites. We solve this problem negatively in Example 2.1.
Classification : 54C25, 54F15, 54F50
Keywords: continuum; dendrite; self-homeomorphic 
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Pyrih, Pavel. An example related to strongly pointwise self-homeomorphic dendrites. Archivum mathematicum, Tome 35 (1999) no. 2, pp. 151-154. http://geodesic.mathdoc.fr/item/ARM_1999__35_2_a6/