Publication at Faculty of Mathematics and Physics |
2016
Abstract
In a nondegenerate continuum we study the set of non- cut points. We show that it can be stratified by inclusion into six natural subsets (containing also non-block and shore points).
Among other results we show that every nondegenerate continuum contains at least two non- block points. Our investigation is further focused on both the classes of arc-like and circle-like continua.