# Category:Homotopy-invariant properties of topological spaces

This category lists property of topological spaces that are invariant upto homotopy-equivalence.

## Subcategories

This category has only the following subcategory.

## Pages in category "Homotopy-invariant properties of topological spaces"

The following 20 pages are in this category, out of 20 total.

### S

- Semilocally simply connected space
- Simple space
- Simply connected space
- Space with abelian fundamental group
- Space with Euler characteristic zero
- Space with finitely generated homology
- Space with finitely generated homotopy groups
- Space with free homology
- Space with homology of finite type
- Space with perfect fundamental group
- Space with torsion-free homology