BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Paolo Leonetti (Universit\\` a degli Studi dell'Insubria)
DTSTART:20250520T183000Z
DTEND:20250520T185500Z
DTSTAMP:20260423T005807Z
UID:CANT2025/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/21/
 ">On the completeness induced by densities on natural numbers</a>\nby Paol
 o Leonetti (Universit\\` a degli Studi dell'Insubria) as part of Combinato
 rial and additive number theory (CANT 2025)\n\nLecture held in CUNY Gradua
 te Center - Science Center (4th floor).\n\nAbstract\nLet $\\nu: \\mathcal{
 P}(\\mathbb{N}) \\to \\mathbb{R}$ be an \\textquotedblleft upper density\\
 textquotedblright\\\, on the natural numbers $\\mathbb{N}$ (for instance\,
  $\\nu$ can be the upper asymptotic density or the upper Banach density). 
 Then a natural pseudometric $d_\\nu$ is induced on $\\mathcal{P}(\\mathbb{
 N})$\, namely\, \n$$\n\\forall A\,B\\subseteq \\mathbb{N}\, \\quad \nd_\\n
 u(A\,B):=\\nu(A\\bigtriangleup B)\n$$\nWe provide necessary and sufficient
  conditions for the completeness of $d_\\nu$. \nThen  we identify in which
  cases the latter ones are verified.\n
LOCATION:https://researchseminars.org/talk/CANT2025/21/
END:VEVENT
END:VCALENDAR