NON-CUT, SHORE AND NON-BLOCK POINTS IN CONTINUA

作者：Bobok Jozef; Pyrih Pavel; Vejnar Benjamin^*

来源：Glasnik Matematicki, 2016, 51(1): 237-253.

DOI：10.3336/gm.51.1.14

• Continuum
• shore point
• non-cut point
• arc-like continuum

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.

• 出版日期2016