Cone space

Definition

Given a topological space $X$, the cone space of $X$, denoted as $CX$, is defined as the quotient of $X\times I$ by the equivalence relation:

$(x_1,0)\sim (x_2,0)\mathrm{\forall }{x}_1,x_2\in X$

Relation with other functors

Related functors

• Suspension