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Complex Manifolds

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From Holomorphic Functions to Complex Manifolds

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 213))

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Abstract

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 T 2-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 ℂn with the Zariski topology is not Hausdorff.

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© 2002 Springer-Verlag New York, Inc.

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Fritzsche, K., Grauert, H. (2002). Complex Manifolds. In: From Holomorphic Functions to Complex Manifolds. Graduate Texts in Mathematics, vol 213. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9273-6_4

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  • DOI: https://doi.org/10.1007/978-1-4684-9273-6_4

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2983-9

  • Online ISBN: 978-1-4684-9273-6

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