Can_you_find_where_do_the_documents_mention_that_any@20250728_154516

user: Can you find where do the documents mention that any continuous $h:D^2\to D^2$ has a fixed point? Here $D^2$ is the 2-dimensional disk in $\text{C}$. [Timestamp: 2025/07/28 15:45:16]

ai: There is no mention in the provided documents that any continuous $h:D^2\to D^2$ has a fixed point (i.e., the Brouwer Fixed Point Theorem for the 2-dimensional disk $D^2$ in $\text{C}$). None of the notes reference this result or provide a statement or proof of it.

Sources:

• The Homotopy Invariance Theorem
• The Open Mapping Theorem
• Series Expansion of Holomorphic Functions [Timestamp: 2025/07/28 15:45:23]