The cone of a topological space is , with one end collapsed to a vertex. Realization of a simplicial cone gives this construction for the realized base complex.
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In topology, the **cone** is a fundamental construction that captures the idea of collapsing a space into a single point. Specifically, the cone over a topological space \( X \) is denoted as \( \text{Cone}(X) \) and can be described intuitively as "taking the space \( X \) and stretching it up to a point.