# GENERALIZED T-SPACES AND DUALITY

• YOON, YEON SOO (Department of Mathematics Hannam University)
• Published : 2005.03.25
• 43 3

#### Abstract

We define and study a concept of $T_A$-space which is closely related to the generalized Gottlieb group. We know that X is a $T_A$-space if and only if there is a map $r:L(A,\;X){\rightarrow}L_0(A,\;X)$ called a $T_A$-structure such that $ri{\sim}1_{L_0(A,\;X)}$. The concepts of $T_{{\Sigma}B}$-spaces are preserved by retraction and product. We also introduce and study a dual concept of $T_A$-space.

#### Keywords

T-space;co-T-spaces;cyclic maps;cocyclic maps

#### Acknowledgement

Supported by : Hannam University

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