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- W2996582244 abstract "We prove that for every T0 space X, there is a well-filtered space W(X) and a continuous mapping ηX:X⟶W(X), such that for any well-filtered space Y and any continuous mapping f:X⟶Y there is a unique continuous mapping fˆ:W(X)⟶Y such that f=fˆ∘ηX. Such a space W(X) will be called the well-filterification of X. This result gives a positive answer to one of the major open problems on well-filtered spaces. As a corollary, we obtain that the product of well-filtered spaces is well-filtered." @default.
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- W2996582244 date "2020-02-01" @default.
- W2996582244 modified "2023-10-14" @default.
- W2996582244 title "Existence of well-filterifications of T0 topological spaces" @default.
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- W2996582244 doi "https://doi.org/10.1016/j.topol.2019.107044" @default.
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