Definition:Right Order Topology on Real Numbers
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Definition
Let $\tau$ be the subset of the power set $\powerset {\R}$ be defined as:
- $\tau := \O \cup \set {\openint a \infty: a \in \R} \cup \R$
Then $\tau$ is the right order topology on $\R$.
Hence the topological space $T = \struct {\R, \tau}$ can be referred to as the right order space on $\R$.
Also see
- Results about the right order topology can be found here.