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The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference inDuluth, 1983, where one of the a...
The number of PL-homeomorphism types of combinatorial manifolds in a fixed dimension with an upper bound on g2 is finite.
One of the foundations of oriented matroid theory is the topological representation theorem of Folkman and Lawrence [8]. It says that an oriented (simple) matroid can be realized uniquely as an arrang...
An interesting example of a compact Hausdorff space that is often presented in beginning courses in topology is the unit square [0, 1]× [0, 1] with the lexicographic order topology. The closed subspac...
针对实际工程中存在的多工况、载荷不确定的情况, 研究了概率方法表示载荷不确定性的多工况线性结构稳健拓扑优化设计方法. 基于线弹性位移叠加原理给出了多工况、不确定性条件下结构柔度均值与方差的计算方法, 并在此基础上推导了结构灵敏度公式. 对于承受M个工况的二维结构, 根据每个工况下的柔度均值和方差以及灵敏度信息求出其结构整体的均值、方差及灵敏度信息;而结构在单工况n个不确定载荷下的均值方差及灵敏度信...
For autonomous agents the problem of deciding what to do next becomes increasingly complex when acting in unpredictable and dynamic environments pursuing multiple and possibly conflicting goals. One o...
The contribution deals with the contextual design of spatial data for the purposes of the regional development, land management and government, describes the role of remote sensing data and contextua...
As a result of building a topological surfaced geodatabase for the test area, the paper discuses the investigation of modeling 3D surface data, and its fusion with other planinmetric modeled data, an...
Three-dimensional city models become more and more important in many GIS applications. Examples are, apart from simple visualization, city and land use planning as well as telecommunication planning ...
A spatiotemporal data model consists of attributes or classes, operations, and consistency constraints. Various models have been proposed by the geographic information system (GIS) community. These m...
We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we...
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from areas as diverse as topology, qua...
Generalized complex geometry and topological sigma-models.

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