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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
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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.

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Keywords: Compactification, sequential, <IMG WIDTH="14" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$c$">-space, metacompact, sequentially compact, coreflection, topological group, Fr&#233;chet space, homogeneous
Article copyright: © Copyright 1971 American Mathematical Society