Theorems · Theorem · algebraic topology
VectorBundleCore.isOpenMap_proj
∀ {R : Type u_1} {B : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField R] [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace R F] [inst_3 : TopologicalSpace B] {ι : Type u_5} (Z : VectorBundleCore R B F ι),
IsOpenMap Z.projThe projection on the base of a vector bundle created from core is an open map
- Defined in
- Mathlib.Topology.VectorBundle.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Bundle.TotalSpacestatement · cited by 766
- IsOpenMapstatement · cited by 253
- VectorBundleCorestatement and proof · cited by 38
- VectorBundleCore.Fiberstatement · cited by 22
- VectorBundleCore.toFiberBundleCoreproof · cited by 16
- VectorBundleCore.projstatement · cited by 2
- FiberBundleCore.isOpenMap_projproof · cited by 1
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