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