In the mathematical field of topology, a section (or cross section) of a fiber bundle $${\displaystyle E}$$ is a continuous right inverse of the projection function $${\displaystyle \pi }$$. In other words, if $${\displaystyle E}$$ is a fiber bundle over a base space, $${\displaystyle B}$$ See more Fiber bundles do not in general have such global sections (consider, for example, the fiber bundle over $${\displaystyle S^{1}}$$ with fiber $${\displaystyle F=\mathbb {R} \setminus \{0\}}$$ obtained by taking the Möbius bundle and … See more • Fibration • Gauge theory • Principal bundle • Pullback bundle • Vector bundle See more 1. ^ Husemöller, Dale (1994), Fibre Bundles, Springer Verlag, p. 12, ISBN 0-387-94087-1 See more • Fiber Bundle, PlanetMath • Weisstein, Eric W. "Fiber Bundle". MathWorld. See more Web14 Apr 2024 · The Smooth modifier smooths a mesh by flattening the angles between adjacent faces in it, just like the Smooth tool in Edit Mode. It smooths without subdividing the mesh, the number of vertices remains the same. This modifier is not limited to smoothing, though.
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