Topology Proceedings 12 (1987) pp. 159-171: ON THE COUNTABLE BOX PRODUCT OF COMPACT ORDINALS

Topology Proceedings 15 (1990) pp. 135-141: THE PARACOMPACTNESS OF SPACES RELATED TO UNCOUNTABLE BOX PRODUCTS

Let X be a box product of K many compact metric spaces. We give various models in which X/finite and X/countable are paracompact, as well as related re­ sults.

Countable Box Products of Ordinals 123

The countable box product of ordinals is examined in the paper for normality and paracompactness. The continuum hypothesis is used to prove that the box product of countably many a-compact ordinals is paracompact and that the box product of another class of ordinals is normal. A third class trivially has a nonnormal product Because I have found a countable box product of ordinals useful in the ...

Topology Proceedings 2 (1977) pp. 631-642: BOXES OF COMPACT ORDINALS

COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS

In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

One-point extensions of locally compact paracompact spaces

A space $Y$ is called an {em extension} of a space $X$, if $Y$ contains $X$ as a dense subspace. Two extensions of $X$ are said to be {em equivalent}, if there is a homeomorphism between them which fixes $X$ point-wise. For two (equivalence classes of) extensions $Y$ and $Y'$ of $X$ let $Yleq Y'$, if there is a continuous function of $Y'$ into $Y$ which fixes $X$ point-wise. An extension $Y$ ...