Glasnik matematički, Vol. 51 No. 1, 2016.
Original scientific paper
https://doi.org/10.3336/gm.51.1.14
Non-cut, shore and non-block points in continua
Jozef Bobok
; Faculty of Civil Engineering, Czech Technical University in Prague
Pavel Pyrih
; Faculty of Mathematics and Physics, Charles University in Prague, 118 00 Prague, Czech Republic
Benjamin Vejnar
orcid.org/0000-0002-2833-5385
; Faculty of Mathematics and Physics, Charles University in Prague, 118 00 Prague, Czech Republic
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.
Keywords
Continuum; shore point; non-cut point; arc-like continuum
Hrčak ID:
160116
URI
Publication date:
15.6.2016.
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