Homeomorphisms of balls

From Manifold Atlas
Jump to: navigation, search

Let B^n = \{x \in \R^n \mid |x| \leq 1\} be the n-ball. Is every homeomoprhism of B^n topologically isotopic to either the identity (orientation preserving case) or a reflection (orientation reversing case)?

And does the answer depend on n?

Personal tools
Namespaces
Variants
Actions
Navigation
Interaction
Toolbox