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Revista Integración
Print version ISSN 0120-419XOn-line version ISSN 2145-8472
Abstract
MACIAS, SERGIO. On Pointwise Smooth Dendroids. Integración - UIS [online]. 2022, vol.40, n.2, pp.137-158. Epub May 08, 2023. ISSN 0120-419X. https://doi.org/10.18273/revint.v40n2-2022001.
This is a survey paper on dendroids, smooth dendroids and mainly on pointwise smooth dendroids based on the work of J. J. Charatonik and C. Eberhart (dendroids and smooth dendroids) and S. T. Czuba (pointwise smooth dendroids). We present several characterizations of pointwise smooth dendroids, including one using the strict point τ Tasymmetry property, defined by D. P. Bellamy.
MSC2010:
54F15, 54F50, 54F55.
Keywords : Aposyndetic continuum; continuum; dendrite; dendroid; pointwise smooth dendroid; Jones’ set functions τ and k; semi-aposyndetic continuum; smooth dendroid; strictly τ -asymmetric continuum.