definition A.362 Path homotopy and the fundamental group

open in the book · appendices/A-long-proofs.tex:17387 · p. 2964

Rests on

depends_on definition 6.15 Path-connected space ¶
- 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 6.17 Simply connected space ¶
- depends_on definition 6.6 Continuous map ¶ ↺
- depends_on definition 6.15 Path-connected space ¶ ↺

depends_on lemma A.368 The concatenation rules ¶
depends_on theorem A.363 Monodromy ¶
- depends_on theorem A.364 Covering homomorphisms ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Path-connected space	declared	appendices/A-long-proofs.tex:17408
`depends_on`	→	Simply connected space	declared	appendices/A-long-proofs.tex:17408
`depends_on`	←	The concatenation rules	declared	appendices/A-long-proofs.tex:17621
`depends_on`	←	Monodromy	declared	appendices/A-long-proofs.tex:17421