Theorems · Theorem · algebraic topology
FiberBundle.totalSpaceMk_isEmbedding
∀ {B : Type u_2} (F : Type u_3) [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] (E : B → Type u_5)
[inst_2 : TopologicalSpace (Bundle.TotalSpace F E)] [inst_3 : (b : B) → TopologicalSpace (E b)] [FiberBundle F E]
(x : B), Topology.IsEmbedding (Bundle.TotalSpace.mk x)- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Bundle.TotalSpacestatement and proof · cited by 766
- FiberBundlestatement and proof · cited by 471
- Topology.IsEmbeddingstatement · cited by 294
- FiberBundle.totalSpaceMk_isInducingproof · cited by 3
- Bundle.TotalSpace.mk_injectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- FiberBundle.homeomorphAtproof · cited by 4
- FiberBundle.totalSpaceMk_isClosedEmbeddingproof · cited by 0