T-theory: An Overview
T-theory: An Overview
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T 理论：概述
DOI：
10.1006/eujc.1996.0015
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
W. Terhalle
中科院分区：
文献类型：
--
作者：
A. Dress;V. Moulton;W. Terhalle
摘要 T 理论是我们对树理论、度量空间的单射包络理论以及与这些主题相关的所有领域采用的名称，它是在比勒费尔德过去 10-15 年中发展起来的。它的动机最初是——并且在很大程度上仍然是——开发用于重建系统发育树的数学工具。当发现T理论与仿射建筑、评估拟阵和度量分解的关系时，它得到了相当大的扩展。在本文中，我们对该理论进行了简要介绍，希望它能够为一些主要结果提供有用的参考，并为进一步研究 T 理论提供什么提供指导。
Abstract T-theory is the name that we adopt for the theory of trees, injective envelopes of metric spaces, and all of the areas that are connected with these topics, which has been developed over the past 10–15 years in Bielefeld. Its motivation was originally—and still is to a large extent—the development of mathematical tools for reconstructing phylogenetic trees.T-theory expanded considerably when its relationships with the theory of affine buildings, valuated matroids, and decompositions of metrics were discovered. In this paper, we give a brief introduction to this theory, which we hope will serve as a useful reference to some of the main results, and also as a guide for further investigations into whatT-theory has to offer.