EQUIVARIANT FIBER RETRACTS AND EXTENSORS

Abstract

The shape theory of continuous maps is a new branch of classical shape theory and is an extension of the homotopy theory of absolute neighborhood retracts for the category of maps of metrizable spaces. In this paper we investigate theory of absolute equivariant (neighborhood) retracts and extensors for maps of topological G-spaces from a weakly hereditary class.

Keywords

• g-map
• equivariant retraqt
• equivariant extensor
• equivariant absolut (neighborhood) retracts and extensors for g-maps