Suppose \( X \) is a locally path-connected space . Then the components of \( X \) are equal to its path components .

[1, Proposition 4.26 (a)]

References Link to heading

  1. J. Lee, Introduction to Topological Manifolds. New York, NY: Springer New York, 2011. doi:10.1007/978-1-4419-7940-7