# FUNCTION SPACES AND PRODUCT TOPOLOGIES

```@article{Brown1964FUNCTIONSA,
title={FUNCTION SPACES AND PRODUCT TOPOLOGIES},
author={R. Brown},
journal={Quarterly Journal of Mathematics},
year={1964},
volume={15},
pages={238-250}
}```
• R. Brown
• Published 1964
• Mathematics
• Quarterly Journal of Mathematics
Introduction IN a previous paper (4) I defined ten product topologies o n l x T . In this paper five of these products are applied to problems on function spaces. All spaces will be Hausdorff spaces. The exponential law for function spaces with the compact-open topology is discussed in § 1. The main result (Theorem 1.6) is that the spaces X and (X) are homeomorphic for all X, Y, Z (in this paper ZxY will denote the product ZxsY defined in (4), and ZxY will denote the usual, cartesian, product…
84 Citations
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