In this paper we investigate the role of domain representability and Scott-domain representability in the class of Moore spaces and the larger class of spaces with a base of countable order. We show,â€¦ (More)

We study the roles played by four special types of bases (weakly uniform bases, Ï‰-in-Ï‰ bases, open-in-finite bases, and sharp bases) in the classes of linearly ordered and generalized ordered spaces.â€¦ (More)

We characterize trees whose lexicographic ordering produces an order isomorphic copy of some sets of real numbers, or an order isomorphic copy of some set of ordinal numbers. We characterize treesâ€¦ (More)

In this paper we study the role of cleavability and divisibility in the topology of generalized ordered (GO-)spaces. We characterize cleavability of a GOspace over the class of metrizable spaces, andâ€¦ (More)

In this paper we show that three major classes of topological spaces are domain-representable, i.e., homeomorphic to the space of maximal elements of some domain (=continuous dcpo) with the relativeâ€¦ (More)

In this paper, we study domain-representable spaces, i.e., spaces that can be represented as the space of maximal elements of some continuous directed-complete partial order (= domain) with the Scottâ€¦ (More)

In this paper we show that C-k(X), the set of continuous, realvalued functions on X topologized by the pointwise convergence topology, can have arbitrarily high Borel or projective complexity in Rxâ€¦ (More)

In this paper we study the role of Stepanovaâ€™s continuous separating families in the class of linearly ordered and generalized ordered spaces and we construct examples of paracompact spaces that haveâ€¦ (More)