Definition:Cone (Topology)
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Definition
Let $X$ be a topological space.
The cone on $X$ is defined and denoted as:
- $C X = T \ast X$
where:
- $T$ denotes the trivial topological space
- $T \ast X$ denotes the join of $T$ and $X$
Sources
- 2001: Allen Hatcher: Algebraic Topology