Source: wikibot/mapping-torus
= Mapping torus
{wiki=Mapping_torus}
A **mapping torus** is a concept in topology, specifically in the study of fiber bundles and manifolds. It is a way to construct a new topological space from a given manifold and a continuous function defined on it. To describe a mapping torus formally, consider the following: 1. **Space**: Let \\( M \\) be a topological space (often a manifold) and let \\( f: M \\to M \\) be a continuous map.