Original scientific paper
LOCAL CONNECTEDNESS OF INVERSE LIMIT
Ivan Lončar
Abstract
The local connectedness of inverse limit spaces was studied in many papers ([2], [5], [7], [8], [II]).
The main purpo.se of the present paper is to prove the following theorem.
THEOREM 1.8 Let X={Xa, fa(i A} be an inverse system such that the projections fap are irreducible fully closed mappings. In order that limX be locally connected it is necessary that each Xa be locally connected and it is sufficient that each Xa be a locally connected space without local cut points.
Key words and phrases: Locally connected spaces, closed irreducible mappings, inverse limit. Mathematch subject classification (1980): Primary 54B25; Secondary 54D05.
Keywords
Hrčak ID:
134359
URI
Publication date:
5.12.1994.
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