Moreover, it turns out that the SI_2-topology on a T_0 space can be described completely in terms of convergence, and this convergence structure is topological whenever the given space is SI_2-continuous.CHONG SHENHADRIAN ANDRADIDONGSHENG ZHAOFUGUI SHI...
Also found in: Encyclopedia. AcronymDefinition T0 Topological Space (mathematics; topology) T0 TerraScore 0 (Spore gaming) Copyright 1988-2018 AcronymFinder.com, All rights reserved. Suggest new definition Want to thank TFD for its existence? Tell a friend about us, add a link to this page,...
Asymmetrically normed vector spaceHausdorff quasi-pseudometricq-HyperconvexThe authors define and investigate convexity structures in the sense of Takahashi in T 0 -quasi-metric spaces. They prove that numerous important results about convexity structures in metric spaces can be generalized to the quasi...
The theme of this paper is the extension of continuous valuations on the lattice of open sets of a T 0-space to Borel measures. A general extension princip... K Keimel,JD Lawson - 《Topology & Its Applications》 被引量: 36发表: 2005年 Measure extension theorems for -spaces The theme of...
There is a four-point space S1 weakly homotopy equivalent to the circle. The restriction to S1 of the complex number multiplication is not continuous, nevertheless a continuous model of the multiplication with values in S1 can be defined on an eight-point circle. Applying an analogue of Hopf'...
A few properties of finite topological spaces with the fixed point property were discovered in 1956. One construction that came of the investigation was that of a tower space on n points. This is the topology on n points in which there is precisely one nonvoid open set with exactly m point...
" Dequeue and release routines for data space storage," on page 73 – Chapter 7, "Rules for constructing standard CMIP strings," on page 77 – Chapter 8, " Examples of standard CMIP strings," on page 99 – Chapter 9, " Create and delete requests," on page 107 – Chapter 10, " VT...
We illustrate this outcome in a system which respects the space groupP4/nmmand features a fourfold-degenerate fermionic mode at (π,π) in the Brillouin zone. We show that in the presence of conventional superconductivity, different types of topological superconductivity, i.e., first-order and ...
Let (X, 3) be a topological space. Let Pi, a subcollection of 3, be a base for some topology, 3,-, on X. Consider the subcollection of 3, p~it where /3<= {X—Tt: 7\3i and the closure is with respect to 3}. Then, Pi is a base for a topology on X, 3/3*. The ...
Computational topology mostly focuses on structured data such as mesh. However, unstructured datasets such as point sets remain a virgin land for topology scientists. The significance of point-based topology can never be overemphasized, especially in the area of reverse engineering, geometric modeling,...