On Pointwise Smooth Dendroids

Abstract

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 $\T$-asymmetry property, defined by D. P. Bellamy.

Keywords

• Aposyndetic continnum
• continuum
• pointwise smooth dendroid
• semi-aposyndetic continuum
• smooth dendroid
• Jones' set functions T and K