I am learning about the nearly para-compact space and almost para-compact space. I know that every nearly para-compact space is almost para-compact space but the converse is not true in general. So i need an example of almost para-compact space which is not nearly para-compact space.
2026-03-31 17:57:04.1774979824
Show that every nearly paracompact space is almost paracompact but the converse is not true
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You really should think a bit harder about the examples that you’ve already received. Just in the case of this question, one of them answers the present question: the space described in this answer is almost compact, hence almost paracompact, and the same open cover that user87690 used to show that it is not nearly compact works to show that it is not nearly paracompact, either.