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On meager function spaces, network character and meager convergence in topological spaces
network character meager convergent sequence meager filter meager space
2011/1/20
For a non-isolated point x of a topological space X let nw (x) be the smallest cardinality of a family N of infinite subsets of X such that each neighborhood O(x) X of x contains a set N 2 N.
Rigidity of the topological dual of spaces of formal series with respect to product topologies
Topological fields topological duals product topology infinite matrices
2011/2/22
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited for different purpos...
Order-theoretic properties of bases in topological spaces I
Noetherian type Open in finite OIF product box product
2011/2/22
We study some cardinal invariants of an order-theoretic fashion on products and box products of topological spaces. In particular, we concen-trate on the Noetherian type (Nt), defined by Peregudov in ...
In this article, we discuss the Lefschetz trace formula for an adic space which is separated smooth of finite type but not necessarily proper over an algebraically closed non-archimedean field. Under...