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Work in the measure algebra of the Lebesgue measure on the Cantor space: for comeager many $[A]$ the set of points $x$ such that the density of $x $ at $A$ is not defined is $\Sigma^{0}_{3}$-complete; for some compact $K$ the set of points $x$ such t
Externí odkaz:
http://arxiv.org/abs/1510.04193
Autor:
Barutello, Vivina, Costantini, Camillo
We investigate the Pompeiu property for subsets of the real line, under no assumption of connectedness. In particular we focus our study on finite unions of bounded (disjoint) intervals, and we emphasize the different results corresponding to the cas
Externí odkaz:
http://arxiv.org/abs/1110.1383
We investigate the Whyburn and weakly Whyburn property in the class of $P$-spaces, that is spaces where every countable intersection of open sets is open. We construct examples of non-weakly Whyburn $P$-spaces of size continuum, thus giving a negativ
Externí odkaz:
http://arxiv.org/abs/0911.0145
Autor:
Costantini, Camillo
Publikováno v:
Proceedings of the American Mathematical Society, 2005 Jun 01. 133(6), 1861-1864.
Externí odkaz:
https://www.jstor.org/stable/4097729
Autor:
Costantini, Camillo
Publikováno v:
Proceedings of the American Mathematical Society, 1998 Nov 01. 126(11), 3393-3396.
Externí odkaz:
https://www.jstor.org/stable/119159
Autor:
Bella, Angelo, Costantini, Camillo
Publikováno v:
Filomat, 2015 Jan 01. 29(1), 121-124.
Externí odkaz:
https://www.jstor.org/stable/24897706
Publikováno v:
In Topology and its Applications 1 December 2013 160(18):2285-2308
Autor:
Costantini, Camillo, Gutev, Valentin
Publikováno v:
Tsukuba Journal of Mathematics, 2002 Jun 01. 26(1), 145-169.
Externí odkaz:
https://www.jstor.org/stable/43686239
Autor:
Baldovino, Chiara, Costantini, Camillo
Publikováno v:
In Topology and its Applications 2009 156(17):2692-2703