Scientific interests

Uniform spaces, set-theoretic topology, selections, fuzzy topology.

Curriculum

I took my «Laurea in Matematica» at Padova University in 1973, with a dissertation about rings of integer-valued continuous functions.
My first research field dealt with spectra of prime ideals in commutative rings.
Afterwards I studied uniform spaces, in particular those equipped with a basis for the uniformity which is well-ordered. Another important research field was the theory of hyperspaces.
In the eighties my interest was mainly devoted to fuzzy topology, expecially to the investigation of topics related to fuzzy proximity and fuzzy uniformity spaces.
At present, I am working on selections in non-archimedean spaces and in scattered spaces.
In my research, I regularly collaborated with my colleagues:

In 1981 I became assistant professor of Mathematical Analysis at the Faculty of Engineering of Padova University.
Since 1988 I am associated professor at the Faculty of Science of Padova University.

Together with my colleagues in Padova, I am organizing ITES2007, the «Sixth Italian-Spanish Conference on General Topology and applications» (in 2001 we organized ITES2001, the fourth edition of the conference).

Some publications

1. Giuliano Artico and Umberto Marconi, A Complete omega_mu-Metric Space is not Necessarily Supercomplete, Boll. UMI, VII 9-A, 1995, pp. 633-637
2. Giuliano Artico and Umberto Marconi and Jan Pelant, On Supercomplete omega_mu-Metric Spaces, Bull. Pol.Acad. Sci., 44.3, 1996, pp 299-310.
3. Giuliano Artico and Umberto Marconi, A Strong Completeness Condition in Uniform Spaces with Well Ordered Bases, Houston J. Math., 25-4, 1999, pp 667-678.
4. Giuliano Artico and Umberto Marconi and Roberto Moresco and Jan Pelant, Selectors and scattered spaces, Topology and its Applications, Proc. Erice Course on Convergence and Topology, 111, 2001, pp 35-48.
5. Giuliano Artico and Viatcheslav I. Malykhin and Umberto Marconi, Some large and small sets in topological groups, Mathematica Pannonica, 12, (2001), 157-165.
6. Giuliano Artico and Umberto Marconi, Selections and Topologically Well-Ordered Spaces, Topology Appl., 115/3, (2001), 299-303.
7. Giuliano Artico and Umberto Marconi, A result about selectors in non-Archimedean spaces, Rend. Ist. Mat. Univ. Trieste, 32/suppl. 2 (2001), 1-7.
8. Giuliano Artico and Umberto Marconi and Jan Pelant and Luca Rotter and Mikhail Tkachenko, Selections and suborderability, Fund. Math., 175 (2002), 1-33.
9. Giuliano Artico and Viatcheslav I. Malykhin and Umberto Marconi, Five different proofs of extraresolvability of countable totally bounded groups, Appl. Gen. Top., 4/2, (2003), 317-325.
10. Giuliano Artico and Umberto Marconi and Jan Pelant, Zero-selectors and GO spaces, Topology Appl., 152 (2005), 243-257.
11. Giuliano Artico and Umberto Marconi and Roberto Moresco and Jan Pelant, Selectors in non-Archimedean spaces, Topology Appl., 154 (2007), 540-551.
12. Giuliano Artico and Lubica Hola and Umberto Marconi and Roberto Moresco, Approximation by continuous functions in the Fell topology, Topology Appl., 155, (2008), 2150-2157.