Whitney Preserving Maps onto Dendrites

• Autorzy: Eiichi Matsuhashi
• Języki publikacji: EN

Abstrakty

EN

We prove the following results.
(i) Let X be a continuum such that X contains a dense arc component and let D be a dendrite with a closed set of branch points. If f:X → D is a Whitney preserving map, then f is a homeomorphism.
(ii) For each dendrite D' with a dense set of branch points there exist a continuum X' containing a dense arc component and a Whitney preserving map f':X' → D' such that f' is not a homeomorphism.

Kategorie tematyczne

• 54C99: None of the above, but in this section
• 54F15: Continua and generalizations
• 54B20: Hyperspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 2
• Strony: 155-163

Daty

wydano

2012

Twórcy

autor

Eiichi Matsuhashi

• Department of Mathematics, Faculty of Engineering, Shimane University, Matsue, Shimane, 690-8504 Japan

Identyfikatory

DOI

10.4064/ba60-2-5