hrcak mascot   Srce   HID

Original scientific paper
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 icon 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

Fulltext: english, pdf (101 KB) pages 167-172 downloads: 348* cite
APA 6th Edition
Pyrih, P., Vejnar, B. & Velázquez, L.M.G. (2013). Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping. Glasnik matematički, 48 (1), 167-172. https://doi.org/10.3336/gm.48.1.13
MLA 8th Edition
Pyrih, Pavel, et al. "Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping." Glasnik matematički, vol. 48, no. 1, 2013, pp. 167-172. https://doi.org/10.3336/gm.48.1.13. Accessed 3 Dec. 2021.
Chicago 17th Edition
Pyrih, Pavel, Benjamin Vejnar and Luis Miguel García Velázquez. "Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping." Glasnik matematički 48, no. 1 (2013): 167-172. https://doi.org/10.3336/gm.48.1.13
Harvard
Pyrih, P., Vejnar, B., and Velázquez, L.M.G. (2013). 'Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping', Glasnik matematički, 48(1), pp. 167-172. https://doi.org/10.3336/gm.48.1.13
Vancouver
Pyrih P, Vejnar B, Velázquez LMG. Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping. Glasnik matematički [Internet]. 2013 [cited 2021 December 03];48(1):167-172. https://doi.org/10.3336/gm.48.1.13
IEEE
P. Pyrih, B. Vejnar and L.M.G. Velázquez, "Continuum-chainable continuum which can not be mapped onto an arcwise connected continuum by a monotone epsilon mapping", Glasnik matematički, vol.48, no. 1, pp. 167-172, 2013. [Online]. https://doi.org/10.3336/gm.48.1.13

Abstracts
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.

Keywords
Continuum; continuum-chainable; monotone mapping; arcwise connected

Hrčak ID: 103353

URI
https://hrcak.srce.hr/103353

Visits: 570 *