Abstract
We study properties of the Ceder product X × b Y of topological spaces X and Y, where b ∈ Y, recently introduced by the authors. Important examples of the Ceder product are the Ceder plane and the Alexandroff double circle. In particular, for i = 0, 1, 2, 3 we establish necessary and sufficient conditions for the Ceder product to be a T i -space. We prove that the Ceder product X × b Y is metrizable if and only if the spaces X and $$ \overset{.}{Y}=Y\backslash \left\{b\right\} $$ are metrizable, X is σ-discrete, and the set {b} is closed in Y. If X is not discrete, then the point b has a countable base of closed neighborhoods in Y.
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