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I've got a question on terminology.

In 3d, a set of planes intersecting at a point is called a bundle of planes. A set of planes intersecting along a line is called a sheaf of planes.

My question concerns hyperplanes in 4d. What is the relevant terminology there?

I presume I can still refer to hyperplanes intersecting at a point as a bundle of hyperplanes. However, hyperplanes can also intersect along a line or along a 2d plane. What should I call those?

Andrey
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