Let X be a Hausdorff space, i.e., a topological space satisfying the Hausdorff separation axiom. Sometimes such a space is also called a separated space or a T2-space. Hausdorff spaces are the most common in topology (for example, every metric space is a Hausdorff space), but non-Hausdorff spaces do arise, in particular in algebraic geometry. The space ℂ n with the Zariski topology is not Hausdorff.
KeywordsVector Bundle Riemann Surface Line Bundle Meromorphic Function Open Neighborhood
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