La completion universelle d'un espace metrique.
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Cristina Martínez Calvo (1976)
Gaceta Matemática
R. Pupier (1969)
Publications du Département de mathématiques (Lyon)
Gerald Itzkowitz, Dmitri Shakhmatov (1995)
Fundamenta Mathematicae
We prove that every nonmetrizable compact connected Abelian group G has a family H of size |G|, the maximal size possible, consisting of proper dense pseudocompact subgroups of G such that H ∩ H'={0} for distinct H,H' ∈ H. An easy example shows that connectedness of G is essential in the above result. In the general case we establish that every nonmetrizable compact Abelian group G has a family H of size |G| consisting of proper dense pseudocompact subgroups of G such that each intersection H H'...
Mykhaylyuk, V.V. (2007)
International Journal of Mathematics and Mathematical Sciences
Petr Simon (1979)
Commentationes Mathematicae Universitatis Carolinae
Robert Cauty, Tadeusz Dobrowolski, Helma Gladdines, Jan van Mill (1995)
Fundamenta Mathematicae
Khare, Mona, Singh, Rashmi (2006)
Novi Sad Journal of Mathematics
Pierre Damphousse, René Guitart (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
E. Puzio (1973)
Fundamenta Mathematicae
Hisao Kato (1988)
Compositio Mathematica
David Holgate (1998)
Commentationes Mathematicae Universitatis Carolinae
We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
Lowen, R., Verbeeck, C. (2003)
International Journal of Mathematics and Mathematical Sciences
M. Mršević (1979)
Matematički Vesnik
C. Dorsett (1979)
Matematički Vesnik
J. J. Charatonik (1993)
Revista Matemática de la Universidad Complutense de Madrid
In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains...
Barr, Michael, Kennison, John F., Raphael, R. (2009)
The New York Journal of Mathematics [electronic only]
Bohumil Šmarda (1986)
Czechoslovak Mathematical Journal
Gilma de Villamarin de, Varela Januario (1984)
Revista colombiana de matematicas
Varela Januario, Rodrigo de Castro (1990)
Revista colombiana de matematicas
Neira, Clara Marina, Varela, Januario (2007)
Revista Colombiana de Matemáticas
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