There are a few things that cats will not walk on, and these include:
1. Rough or sharp surfaces - Cats don't like walking on rough or sharp surfaces as it can hurt their delicate paws. If you have a cat that likes to scratch furniture, you might want to consider covering your couches and chairs with something soft like a blanket or towel.
2. Hot surfaces - Just like us, cats don't enjoy walking on hot surfaces. So if you have a tile or stone floor that gets warm in the sun, make sure to provide your cat with a comfortable place to relax that isn't too hot for their paws.
3. Wet surfaces - Most cats dislike getting their feet wet, so they won't typically walk on wet floors or in puddles of water. If you have an outdoor cat, make sure they have a dry place to come inside and rest their feet after being out in the rain.