Whitney Preserving Maps onto Dendrites

• Autorzy: Matsuhashi E.

Identyfikatory

DOI

10.4064/ba60-2-5

• 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.

Słowa kluczowe

EN

Whitney preserving map; Whitney map; Whitney levels; hyperspaces

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 2
• Strony: 155--163
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Matsuhashi E.

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

Bibliografia

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