Izvorni znanstveni članak

https://doi.org/10.3336/gm.48.1.13

Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping

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
Luis Miguel García Velázquez ; Universidad Nacional Autónoma de México, Mexico City, D. F., Mexico

Sažetak

A continuum is called continuum-chainable provided for any pair of points and positive epsilon there exists a finite weak chain of subcontinua of diameter less than epsilon starting at one point and ending in the other. We present an example of a continuum which is continuum-chainable and which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping. This answers a question posed by W. J. Charatonik.

Ključne riječi

Continuum; continuum-chainable; monotone mapping; arcwise connected

Hrčak ID:

103353

URI

https://hrcak.srce.hr/103353

Datum izdavanja:

4.6.2013.

Posjeta: 1.309 *