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

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

 

Some examples in topology


Authors: S. P. Franklin and M. Rajagopalan
Journal: Trans. Amer. Math. Soc. 155 (1971), 305-314
MSC: Primary 54.20
MathSciNet review: 0283742
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: §1 is concerned with variations on the theme of an ordinal compactification of the integers. Several applications are found, yielding, for instance, an example previously known only modulo the continuum hypothesis, and a counter-example to a published assertion.

§2 is concerned with zero-one sequences and §3 with spaces built from sequential fans. Of two old problems of Čech, one is solved and one partly solved.

Since the sections are more or less independent, each will have its own introduction. Sequential spaces form the connecting thread, although not all the examples are concerned with them.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54.20

Retrieve articles in all journals with MSC: 54.20


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0283742-7
PII: S 0002-9947(1971)0283742-7
Keywords: Compactification, sequential, $ c$-space, metacompact, sequentially compact, coreflection, topological group, Fréchet space, homogeneous
Article copyright: © Copyright 1971 American Mathematical Society