Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

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

Hrčak ID:

160116

URI

https://hrcak.srce.hr/160116

Datum izdavanja:

15.6.2016.

Posjeta: 1.029 *