Lefschetz Fixed Point Theorem

Theorem

A particular theorem is missing. In particular: Described in Nelson as "a more general version [of Brouwer's Theorem] that applies when [the domain] $X$ is any compact polyhedron." You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding the theorem. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{TheoremWanted}} from the code.

Proof

This theorem requires a proof. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Also known as

The Lefschetz Fixed Point Theorem is also known just as the Lefschetz Theorem.

Source of Name

This entry was named for Solomon Lefschetz.

Historical Note

The Lefschetz Fixed Point Theorem was demonstrated by Solomon Lefschetz in $1926$, and independently by Heinz Hopf in $1928$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fixed-point theorem
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fixed-point theorem