On the dimension of Z-sets

Craig R. Guilbault; Carrie J. Tirel

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On the dimension of Z-sets

机译：关于Z集的维数

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摘要

We offer a short and elementary proof that, for a Z-set .4 in a finite-dimensional ANR Y, dim A < dim Y. This result is relevant to the study of group boundaries. The original proof by Bestvina and Mess relied on cohomological dimension theory.

机译：我们提供了一个简短的基本证明，对于有限维ANR Y中的Z-set 0.4，dim A

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来源
《Topology and its applications》 |2013年第13期|1849-1852|共4页
作者
Craig R. Guilbault; Carrie J. Tirel;
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作者单位

Department of Mathematical Sciences, University of Wisconsin-Milwaukee,Milwaukee, WI 53201, United States;

Department of Mathematical Sciences, University of Wisconsin-Fox Valley,1478 Midway Road, Menasha, WI 54952, United States;

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原文格式 PDF
正文语种 eng
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关键词
Z-set; Z-compactirication; Z-boundary;

机译：Z-set;Z-致密化;Z边界;

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2. Z-SETS IN SYMMETRIC PRODUCTS [J] . Illanes Alejandro, Juarez-Ojeda Rigel A., Martinez-Montejano Jorge M. Houston Journal of Mathematics . 2017,第2期

机译：Z-套在对称产品中
3. Z-set unknotting in uncountable products of reals [J] . A. Chigogidze Monatshefte für Mathematik . 2011,第4期

机译：Z-set对不可数实数的乘积未加注解
4. Z-set Based Approach to Control System Design [C] . Rafik A. Aliev, Latafat A. Gardashova International Conference on Theory and Application of Fuzzy Systems and Soft Computing . 2021

机译：基于Z的控制系统设计方法
5. ABSOLUTE Z-SETS AND THE Z-SET ABSORPTION PROPERTY. [D] . POLLARD, VIRGINIA JEAN. 1971

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8. Performance Evaluation of a Magnavox GPS (Global Positioning System) Z-Set [R] . Vinnins, M. F. 1983

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On the dimension of Z-sets

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