A continuous vector bundle is a vector bundle with only the structure of a topological manifold. The map is continuous. It has no smooth structure or bundle metric.

# Continuous Vector Bundle

## See also

Bundle, Bundle Metric, Manifold, Vector Bundle
*This entry contributed by Todd
Rowland*

## Explore with Wolfram|Alpha

## Cite this as:

Rowland, Todd. "Continuous Vector Bundle." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/ContinuousVectorBundle.html