学位论文详细信息
Triangulation of Locally Semi-Algebraic Spaces. | |
Triangulation;Algebraic Geometry;Algebraic Topology;Algebraic Varieties;Mathematics;Science;Mathematics | |
Hofmann, Kyle RogerTappenden, James P. ; | |
University of Michigan | |
关键词: Triangulation; Algebraic Geometry; Algebraic Topology; Algebraic Varieties; Mathematics; Science; Mathematics; | |
Others : https://deepblue.lib.umich.edu/bitstream/handle/2027.42/63851/krhofman_1.pdf?sequence=1&isAllowed=y | |
瑞士|英语 | |
来源: The Illinois Digital Environment for Access to Learning and Scholarship | |
【 摘 要 】
We give necessary and sufficient conditions for a locally semi-algebraic space to be homeomorphic to a simplicial complex. Our proof does not require the space to be embedded anywhere, and it requires neither compactness nor projectivity of the space. A corollary is that every real or complex algebraic variety is triangulable, a result which does not seem to be available in the literature when the variety is neither projective nor real and compact.
【 预 览 】
Files | Size | Format | View |
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Triangulation of Locally Semi-Algebraic Spaces. | 398KB | download |