Half-homogeneous indecomposable circle-like continuum

Abstract

A continuum is said to be $\frac12$-homogeneous if there are exactly two types of points. We give an example of a $\frac12$-homogeneous indecomposable circle-like continuum.

This answers a question of V. Neumann-Lara, P.

Pellicer-Covarrubias and I. Puga.

Keywords

• continuum
• indecomposable
• circle-like
• $\frac12$-homogeneous
• connected im kleinen