##  [Fixed-Point Index](/fixed-point-index) 

  ##  [Fixed-Point Index](https://natural.quantumdictionary.io/fixed-point-index-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An integer-valued topological invariant assigned to an isolated fixed point of a continuous map on a manifold (or in Euclidean space) that algebraically counts the fixed point according to the local degree of the map minus the identity.