What is the theory of shape?

Author:

Borsuk Karol,Dydak Jerzy

Abstract

This expository article on Shape Theory contains the main concepts of this theory with a formulation of the most important results of this theory and also with some open problems. The proofs are omitted, however the article gives references to the hooks and papers, in which the reader can find the proofs.For simplicity, we formulate several theorems only in the form which clearly gives their geometric sense, even if there are known more general results with rather complicated formulations. The reader more interested in details, can find them in the original papers quoted in the list of references.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference101 articles.

1. Mapping Hilbert Cube Manifolds to ANR's: A Solution of a Conjecture of Borsuk

2. On the homotopy type of ANR’s

3. On the uniqueness of the decomposition of movable shapes into a product of 1-dimensional shapes;Trybulec;Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.,1975

4. On shapes of movable curves;Trybulec;Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys.,1973

5. Infinite-dimensional Whitehead and Vietoris theorems in shape and pro-homotopy

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3