Article · Wikipedia archive · Last revised Jun 11, 2026

Surface bundle

In mathematics, a surface bundle is a bundle in which the fiber is a surface. When the base space is a circle the total space is three-dimensional and is often called a surface bundle over the circle.

Last revised

Jun 11, 2026

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≈ 1 min

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In mathematics, a surface bundle¹ is a bundle in which the fiber is a surface. When the base space is a circle the total space is three-dimensional and is often called a surface bundle over the circle.

See also

See also

Mapping torus

References

References

Salter, Nick; Tshishiku, Bena (21 October 2019). "Surface bundles in topology, algebraic geometry, and group theory" (PDF). nsalter.science.nd.edu. Retrieved 21 July 2025.