Manifold
A space that acts euclidean-like at smaller scales but has more complex global geometry.
Examples

Manifold Hypothesis
- A principle of Machine Learning
High-dimensional, real-world data (like images or text) actually resides on a much lower-dimensional, structured, and continuous manifold embedded within that high-dimensional space
- Many data sets that appear to initially require many variables to describe, can actually be described by a comparatively small number of variables.