Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Stationary isotopies of infinite-dimensional spaces


Author: Raymond Y. T. Wong
Journal: Trans. Amer. Math. Soc. 156 (1971), 131-136
MSC: Primary 57.55; Secondary 54.00
MathSciNet review: 0275476
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let X denote the Hilbert cube or any separable infinite-dimensional Fréchet space. It has been shown that any two homeomorphisms f, g of X onto itself is isotopic to each other by means of an invertible-isotopy on X. In this paper we generalize the above results to the extent that if f, g are K-coincident on X (that is, $ f(x) = g(x)$ for $ x \in K$), then the isotopy can be chosen to be K-stationary provided K is compact and has property-Z in X. The main tool of this paper is the Stable Homeomorphism Extension Theorem which generalizes results of Klee and Anderson.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57.55, 54.00

Retrieve articles in all journals with MSC: 57.55, 54.00


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0275476-X
PII: S 0002-9947(1971)0275476-X
Keywords: Invertible-isotopy, K-coincident, K-stationary, homeomorphism, property-Z, stable homeomorphism extension
Article copyright: © Copyright 1971 American Mathematical Society



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia