Glasnik Matematicki, Vol. 40, No.2 (2005), 333-337.

D-COUNTINUUM X ADMITS A WHITNEY MAP FOR C(X) IF AND ONLY IF IT IS METRIZABLE

Ivan Lončar

Faculty of Organizations and Informatics Varaždin, University of Zagreb, Croatia
e-mail: ivan.loncar1@vz.htnet.hr
e-mail: ivan.loncar@foi.hr

Abstract.   The main purpose of this paper is to prove:
a) a D-continuum X admits a Whitney map for C(X) if and only if it is metrizable,
b) a continuum X admits a Whitney map for C2(X) if and only if it is metrizable.

2000 Mathematics Subject Classification.   54F15, 54C30.

Key words and phrases.   D-continuum, Whitney map.

Full text (PDF) (free access)

DOI: 10.3336/gm.40.2.13

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