Vol. 31, No. 3, 1969

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A study of absolute extensor spaces

Carlos Jorge Do Rego Borges

Vol. 31 (1969), No. 3, 609–617

In the enclosed paper, we will prove, among others, the following results: (a) A sufficient condition that a space L be an absolute extensor for the class of stratifiable spaces in that L be hyperconnected (this is a refinement of the concept of equiconnected space). This condition is also necessary if L is a metrizable space. (b) Every hypogeodesic space is hyperconnected. (o) Every equiconnected space is -hyperconnected. (d) Every -hyperconnected space is an absolute extensor for the class of CW-complexes of Whitehead.

Mathematical Subject Classification
Primary: 54.55
Received: 15 August 1968
Revised: 17 October 1968
Published: 1 December 1969
Carlos Jorge Do Rego Borges