Topic
Statement
State the definition of a topological manifold.
Hints
Recall the local Euclidean condition.
Consider the separation and countability requirements.
Sketch
A topological manifold is a topological space satisfying three conditions.
Model Solution
A topological manifold is a Hausdorff, second-countable topological space that is locally homeomorphic to Euclidean space ℝⁿ for some n.