Category:Hjalmar Ekdal Topology
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This category contains results about Hjalmar Ekdal Topology.
Let $\tau$ be the topology defined on the (strictly) positive integers $\Z_{>0}$ as follows:
A subset $H$ of $\Z_{>0}$ is in $\tau$ if and only if $H$ contains the (immediate) successor of every odd integer that is also in $H$:
- $\tau := \set {H \subseteq \Z_{>0}: 2 n - 1 \in H \implies 2 n \in H}$
Then $\tau$ is referred to as the Hjalmar Ekdal topology.
The topological space $T = \struct {\Z_{>0}, \tau}$ is referred to as the Hjalmar Ekdal space.
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