Prove or give a (justified) counterexample. If the first homology group \(H_1(X)\) of a connected CW-complex \(X\) is trivial then \(X\) is contractible.
Question
Math 6520 • Algebraic Topology
Fall 2024 • Question 5
Question
Fall 2024 • Question 5
Prove or give a (justified) counterexample. If the first homology group \(H_1(X)\) of a connected CW-complex \(X\) is trivial then \(X\) is contractible.