Comparing Cartesian Closed Categories of (core) Compactly Generated Spaces

  title={Comparing Cartesian Closed Categories of (core) Compactly Generated Spaces},
  author={Mart́ın Escard{\'o} and J. C. Lawson and Alex Simpson},
It is well known that, although the category of topological spaces is not cartesian closed, it possesses many cartesian closed full subcategories, e.g.: (i) compactly generated Hausdorff spaces; (ii) quotients of locally compact Hausdorff spaces, which form a larger category; (iii) quotients of locally compact spaces without separation axiom, which form an even larger one; (iv) quotients of core compact spaces, which is at least as large as the previous; (v) sequential spaces, which are… CONTINUE READING
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