theorem A.364 Covering homomorphisms

open in the book · appendices/A-long-proofs.tex:17424 · 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 theorem A.363 Monodromy ¶
- depends_on definition A.361 Covering map ¶ ↺
- 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 ¶
proves proof app:A-long-proofs@proof-223 ¶

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Edges

type	direction	node	provenance	where
`depends_on`	→	Covering map	declared	appendices/A-long-proofs.tex:17439
`depends_on`	→	Monodromy	declared	appendices/A-long-proofs.tex:17439
`proves`	←	app:A-long-proofs@proof-223	declared	appendices/A-long-proofs.tex:17701