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… 
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