Chapter 5 (the fundamental group of a topological space)
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29 Terms
Path definition
Path connected definition
Intermediate value theorem
Continuous image - path connected proposition
Product topology - path connected proposition
Path homotopic definition
Path homotopy - equivalence relation lemma
Concatenation of paths definition
Reverse of a path definition
Constant path definition
Star and hat - path-homotopy theorem
Star and hat properties
Loop based at a point definition
A path from a point to the same point
Fundamental group of X relative to base point definition
Convex definition
Convex subset - path-connected proposition
Convex subset - path-homotopic proposition
Trivial group definition
Convex subset - trivial theorem
Star - path-homotopic lemma
Homomorphism definition
Isomorphism definition
Bijective homomorphism
Isomorphism - path-homotopy theorem
Induced homomorphism definition
Inducing homomorphisms theorem
Pointed space definition
No-retraction theorem
Strong deformation retract definition
Strong deformation retract - isomorphism proposition
