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Semi-Simplicial Complexes and Singular Homology. Author(s): Samuel Eilenberg and J. A. Zilber. Reviewed work(s). Source: Annals of Mathematics, Second. These are the notes of a course on Lie algebras which I gave at the university I hope that this crash course approach will be of some use In mathematics, more specifically topology, a local homeomorphism is a function between topological spaces that, intuitively, preserves local (though not necessarily global) structure.

## The order topology and metric topology on R are the same. As a topological space, the real line is homeomorphic to the open interval (0, 1).

^ Munkres, James (2000). Topology, 2nd ed. Pearson Education. pp. 31, 153. ISBN 0-13-181629-2.