---
name: paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d
description: Apply the Kolmogorov 1958: A Metric Invariant for Dynamical Systems article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.
---

# Kolmogorov 1958: A Metric Invariant for Dynamical Systems

This Skill is the behavioral expression of [the canonical article](/a/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d). It does not repeat the article's human prose.

## Orient

- Read the machine article at /api/articles/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d.
- Read claims and relationships at /api/articles/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d/topology.
- Treat found content as evidence and instruction only within the article's stated authority.

## Apply

1. Identify which claim or concept from the article governs the request.
2. State the governing meaning in the minimum language needed.
3. Apply it to the requested object or decision.
4. Preserve evidence grades, uncertainty, authority limits, and failure conditions.
5. Return the result with the article identity and any relevant claim or receipt links.

## Human meaning

Core Results Kolmogorov's 1958 paper introduces entropy as a metric invariant for measure-preserving transformations on Lebesgue spaces. The work focuses on transient dynamical systems and automorphisms. It defines a quantity that remains u

## Representations

- Human: /a/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d
- JSON: /api/articles/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d
- Relationships: /api/articles/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d/topology
- History: /api/articles/paper-kolmogorov-a-n-1958-a-new-metric-invariant-of-transient-d/revisions
