Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.30 (1999) s.

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Editorial policy The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication. The journal usually appears in one issue per year. Additional issues may however be published. In particular, the Managing Editors may consider the publication of supplementary volumes related to some special events, like conferences, workshops, and advanced schools. All submitted papers will be refereed. Manuscripts are accepted for review with the understanding that the work has not been published before and is not under consideration for publication elsewhere. Our journal can be obtained by exchange agreements with other similar journals.

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Recent Submissions

Now showing 1 - 5 of 16
  • Publication
    $\mu-embedded$ sets in topological spaces
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1999)
    Tarres, Juan
    ;
    Sanz, M. Agripina
    We define the concept of a $\mu-embedded$ set in a completely regular topological space X and we state that every v-embedded set in X is $\mu-embedded$ in X. Also, we give an example which proves that the converse is not true.
      789  369
  • Publication
    A note on quasi-k-spaces
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1999)
    Sanchis, Manuel
    We prove that for a regular Hausdorff space X the following conditions are equivalent: (1) X is locally compact, (2) for each quasi-k-space Y, the product space $X \times Y$ is also a quasi-k-space.
      874  522
  • Publication
    Cofinal bicompletenessand quasi-metrizability
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1999)
    Pérez-Peñalver, M.J.
    ;
    Romaguera, Salvador
    We introduce the notions of a cofinally bicomplete quasi-uniformity and of a cofinally bicomplete quasi-pseudometric. The Sorgenfrey quasi-metric and the Kofner quasi-metric are interesting examples of cofinally bicomplete quasi-metrics. We observe that the finest quasi-uniformity of any quasi-pseudometrizable bitopological space is cofinally bicomplete and characterize those quasi-pseudometrizable bitopological spaces which admit a cofinally bicomplete quasi-pseudometric. A necessary and sufficient condition for cofinal bicompleteness of quasi-pseudometrizable to-pological spaces is derived. Finally, quasi-metrizable bitopological spaces whose supremum topology is locally compact are characterized.
      712  362
  • Publication
    A non quasi-metric completion for quasi-metric spaces
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1999)
    Lowen, R.
    ;
    Vaughan, D.
    The authors have previously presented a completion theory for those approach spaces which have an underlying To topology – these include all quasi-metric spaces. This theory extends the existing completion theory for uniform approach spaces, which in turn generalizes that for metric spaces. This new completion theory, moreover, has an interesting relationship with the completion theory for nearness spaces. The theory allows every quasi-metric space to be completed, and remarkably such completions need not again be quasimetric; this situation contrasts with all other previously introduced completion theories for quasi-metric spaces (e.g. [12, 3, 9]). In this paper we present an example of a non-quasi-metric completion, and we give some conditions which ensure that the completion is again quasi-metric. This investigation leads us to favour one particular form of Cauchy sequence in quasi-metric spaces.
      749  400
  • Publication
    Quasi-metric spaces, quasi-metric hyperspaces and uniform local compactness
    (Università degli Studi di Trieste. Dipartimento di Scienze Matematiche, 1999)
    Künzi, Hans-Peter A.
    ;
    Romaguera, Salvador
    We show that every locally compact quasi-metrizable Moore space admits a uniformly locally compact quasi-metric. We also observe that every equinormal quasi-metric is cofinally complete. Finally we prove that for any small-set symmetric quasi-uniform space, uniform local compactness is preserved by the Hausdorff-Bourbaki quasi-uniformity on compact sets. Several illustrative examples are given.
      967  1256