Original scientific paper

W - SETS AND APPROXIMATE LIMIT

Ivan Lončar

Abstract

The main purpose of the present paper is to prove the following:
THEOREM 3.7. Let X={Xn,Gn,Pinn,N} be an approximate inverse sequence of the dendrites.Then X=limX is hereditarily unicoherent.Moreover,if X is a Peano continuum,then X
is a dendrite.
THEOREM 4.4. Let X={Xn,en,pmn,N} be an inverse sequence of metric compact spaces with onto bonding mappings.If each Xn is in Class W,then /I'mX is in clas W.
THEOREM 5.2. Let X={Xn,6n,PiTin,N} be an approximate inverse sequence of metric continua Xn with P(Xn) < no .Then P(X) < no, X=limX.

Keywords

Hrčak ID:

135056

URI

https://hrcak.srce.hr/135056

Publication date:

5.12.1996.

Article data in other languages: croatian

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