Some examples in topology

Franklin, S. P.; Rajagopalan, M.

doi:10.1090/S0002-9947-1971-0283742-7

Some examples in topology
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by S. P. Franklin and M. Rajagopalan PDF

Trans. Amer. Math. Soc. 155 (1971), 305-314 Request permission

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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Sur les expaces ($\mathcal {L}$) et sur les produits cartésiens

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