integer-valued invariant
C52317
concept
An integer-valued invariant is a property of a mathematical object that assigns an integer in a way that remains unchanged under a specified class of transformations or equivalences.
All labels observed (6)
| Label | Occurrences |
|---|---|
| integer-valued invariant canonical | 2 |
| number theoretic invariant | 2 |
| coloring invariant | 1 |
| enumerative invariant | 1 |
| fixed point invariant | 1 |
| invariant in number theory | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: integer-valued invariant
Generated description
An integer-valued invariant is a property of a mathematical object that assigns an integer in a way that remains unchanged under a specified class of transformations or equivalences.
Instances (8)
| Instance | Via concept surface |
|---|---|
| Hopf invariant | — |
| Tamagawa numbers | number theoretic invariant |
| Hilbert symbol | number theoretic invariant |
| Artin conductor | invariant in number theory |
| Maslov index | — |
| Hurwitz numbers | enumerative invariant |
| Lefschetz number | fixed point invariant |
| Fox n-coloring of knots | coloring invariant |