# Subspace Topology

• November 28th 2009, 11:37 PM
math.dj
Subspace Topology
Describe the subspace topology that the unit circle in R^2 inherits as a
subspace of R^2.

Thank you in advance
• November 29th 2009, 05:52 PM
aliceinwonderland
Quote:

Originally Posted by math.dj
Describe the subspace topology that the unit circle in R^2 inherits as a
subspace of R^2.

Thank you in advance

The subspace topology is simply $W=\{S \cap U | U \in \tau\}$ where S is the unit circle in $\mathbb{Re}^2$, $\tau$ is the topology given on $\mathbb{Re}^2$.