In an earlier paper we established that every second countable, completely normal spectral space is homeomorphic to the ℓ-spectrum of some Abelian ℓ-group. We extend result ℓ-spectra vector lattices over any countable totally ordered division ring k. Combining those methods with Baro's Normal Triangulation Theorem, obtain following result: TheoremFor formally real field k, spectrum commutative ...

In this note linearly ordered topological spaces (abbreviated LOTS) with a point-countable base are examined. It is shown that a LOTS is quasi-developable if and only if it has a <r-point-finite base and a LOTS with a point-countable base is paracompact. An example of a LOTS with a point-countable base that does not have a <r-point-finite base is given. Conditions are given for the metrizabilit...

We study directed sets definable in o-minimal structures, showing that expansions of ordered fields these admit cofinal curves, as well a suitable analogue groups, and furthermore no holds full generality. use the theory tame pairs to extend results field case families with finite intersection property. then apply our topologies. prove all topological spaces display properties akin first counta...

The strong Whitney convergence on bornology introduced by Caserta in [9] is a generalization of the uniform Beer-Levi [5]. This paper aims to study some important topological properties space all real valued continuous functions metric endowed with topologies and bornology. More precisely, we investigate metrizability, various countability properties, countable tightness, Fr?chet property these...

The present paper describes the construction of a resource to determine the lexical preference class of a large number of English nouns (≈ 14,000) with respect to the distinction between mass and count interpretations. In constructing the lexicon, we have employed a questionnaire-based approach based on existing resources such as the Open ANC (http://www.anc.org) and WordNet (Miller, 1995). The...

This paper compares a range of methods for classifying words based on linguistic diagnostics, focusing on the task of learning countabilities for English nouns. We propose two basic approaches to feature representation: distribution-based representation, which simply looks at the distribution of features in the corpus data, and agreement-based representation which analyses the level of tokenwis...