theorem A.363 Monodromy

open in the book · appendices/A-long-proofs.tex:17411 · p. 2965

Rests on

depends_on definition A.361 Covering map ¶
- depends_on definition 6.6 Continuous map ¶
  - depends_on definition 3.53 Preimage ¶
  - depends_on definition 6.2 Open set ¶
    - depends_on definition 6.1 Topological space ¶
      - depends_on definition 3.31 Empty set ¶
      - depends_on definition 3.35 Union, intersection, difference ¶
      - depends_on definition 3.30 Subset ¶
      - depends_on equation 3.51 eq:set-indexed ¶
  - depends_on definition 6.1 Topological space ¶ ↺
- depends_on definition 6.2 Open set ¶ ↺
depends_on definition A.362 Path homotopy and the fundamental group ¶
- depends_on definition 6.15 Path-connected space ¶
  - depends_on definition 6.6 Continuous map ¶ ↺
- depends_on definition 6.17 Simply connected space ¶
  - depends_on definition 6.6 Continuous map ¶ ↺
  - depends_on definition 6.15 Path-connected space ¶ ↺
proves proof app:A-long-proofs@proof-222 ¶

Supports

depends_on theorem A.364 Covering homomorphisms ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Covering map	declared	appendices/A-long-proofs.tex:17421
`depends_on`	→	Path homotopy and the fundamental group	declared	appendices/A-long-proofs.tex:17421
`depends_on`	←	Covering homomorphisms	declared	appendices/A-long-proofs.tex:17439
`proves`	←	app:A-long-proofs@proof-222	declared	appendices/A-long-proofs.tex:17654