Category:Inclusion Mapping is Continuous

This category contains pages concerning Inclusion Mapping is Continuous:

Let $T = \struct {S, \tau}$ be a topological space.

Let $T_H = \struct {H, \tau_H}$ be a topological subspace of $T$ where $H \subseteq S$.

Let $i_H: H \to S$ be the inclusion mapping on $H$.

Then $i_H$ is a $\struct {\tau_H, \tau}$-continuous mapping.