If T and T' are topologies on X and T' is strictly finer than T, what can you say about the corresponding subspace topologies on the subset Y of X?(adsbygoogle = window.adsbygoogle || []).push({});

See the thing is... I know that they CAN be finer but that's might not be for every case. because Y is JUST a subset of X. This does not necessarily mean finer or coarser.

How do i put this in terms of symbols in my proof?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Topologies Finer vs. Coarser

**Physics Forums | Science Articles, Homework Help, Discussion**