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Part of 1996 Miklós Schweitzer

Problems(1)

weighted T2 space

Source: miklos schweitzer 1996 q1

10/12/2021
Let X be a κ\kappa weighted compact T2T_2 space. Prove that for every ω≤λ<κ\omega\leq\lambda<\kappa, X has a continuous image of a T2T_2 space of weight λ\lambda. (The weight of a space X is the smallest infinite cardinality of a base of X.)
topology