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In convenient category of topological spaces, I rewrote a little under the section on counterexamples, and I added a number of examples and references. Some of this came about through a useful exchange with Alex Simpson at MO, here.
Do you happen to know the answer to the related MathOverflow question weather (and what is the argument) the compactly generated replacement of a paracompact Hausdorff topological space is itself paracompact ?
Zoran, I saw that question, but I donâ€™t know the answer.
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