Homology of Multi-Parameter Random Simplicial Complexes

被引：0
|
作者：
Christopher F. Fowler
机构：
[1] University of Washington,
来源：
Discrete & Computational Geometry | 2019年 / 62卷
关键词：
Random simplicial complexes; Homology; Cohomology; Phase transitions; 05C80; 55U10; 60B05; 60C05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a multi-parameter model for randomly constructing simplicial complexes that interpolates between random clique complexes and Linial–Meshulam random k-dimensional complexes. Unlike these models, multi-parameter complexes exhibit nontrivial homology in numerous dimensions simultaneously. We establish upper and lower thresholds for the appearance of nontrivial cohomology in each dimension and characterize the behavior at criticality.
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页码：87 / 127
页数：40
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