Original Articles

THE INDUCED H-STRUCTURE ON FUNCTION SPACES

Published in: Quaestiones Mathematicae
Volume 12 , issue 4 , 1989 , pages: 359–374

DOI: 10.1080/16073606.1989.9632190

Author(s): BasilK. Papadopoulos Department of Mathematics, Greece

Keywords: 54C35 , 55P45

Abstract

Let (Z,Γ) be an H-structure. Then, for each exponential object Y in TOP, an H-structure is induced on the topological space C_t(Y,Z) of continuous maps equipped with the appropriate function space topology t (e.g. t = T_is, where T_is is the Isbell topology on C(Y,Z)).

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