We begin with some remarks explaining the structure of this article. After some introductory
statements in the following paragraphs, we summarize the historic development of what is …

One partially ordered set, Q, is a Tukey quotient of another, P, if there is a map (a Tukey
quotient)'s under Tukey quotients is investigated. Relative Tukey quotients are introduced …

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A Tychonoff space X is called κ-pseudocompact if for every continuous mapping f of X into R
κ the image f (X) is compact. This notion generalizes pseudocompactness and gives a …

On some class of Borel measurable maps and absolute Borel topological spaces Page 1
Topology and its Applications 123 (2002) 267–282 On some class of Borel measurable maps …

Let $ X $ and $ Y $ be metrizable spaces and suppose that there exists a uniformly
continuous surjection $ T: C_ {p}(X)\to C_ {p}(Y) $(resp., $ T: C_ {p}^*(X)\to C_ {p}^*(Y) $) …

A partially ordered set (poset), Q, is a Tukey quotient of a poset, P, written P≥ TQ, if there
exists a map, a Tukey quotient, &phis;: P→ Q such that for any cofinal subset C of P the …

We consider uniformly continuous surjections between $ C_p (X) $ and $ C_p (Y) $(resp, $
C_p^*(X) $ and $ C_p^*(Y $)) and show that if $ X $ has some dimensional-like properties …

We present internal descriptions of spaces of absolute Borel classes with respect to
Tychonoff spaces. Complete sequences of covers is the basic tool for this description. We …

We prove that if X and Y are t-equivalent spaces (that is, if C p (X) and C p (Y) are
homeomorphic), then there are spaces Z n, locally closed subspaces B n of Z n, and locally …