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)


Locally convex topological lattices

Author: Albert R. Stralka
Journal: Trans. Amer. Math. Soc. 151 (1970), 629-640
MSC: Primary 54.56; Secondary 06.00
MathSciNet review: 0264625
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The main theorem of this paper is: Suppose that L is a topological lattice of finite breadth n. Then L can be embedded in a product of n compact chains if and only if L is locally convex and distributive. With this result it is then shown that the concepts of metrizability and separability are equivalent for locally convex, connected, distributive topological lattices of finite breadth.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54.56, 06.00

Retrieve articles in all journals with MSC: 54.56, 06.00

Additional Information

PII: S 0002-9947(1970)0264625-4
Keywords: Topological lattice, locally convex, compact, connected, separating point, embed, product of compact chains, distributive
Article copyright: © Copyright 1970 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