Homeomorphisms of balls

Latest revision as of 02:40, 6 January 2019

Let $<wikitex>; 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 $n$? </wikitex> <!-- == References == {{#RefList:}} --> [[Category:Questions]] [[Category:Study questions]]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 $n$?