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Prof. Arkady Leiderman
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Academic Career Length
42Years (1985-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 January 2015 in Fundamenta Mathematicae
Journal Article
25 May 2014 in Monatshefte für Mathematik
Journal Article
10 February 2021 in Proceedings of the American Mathematical Society, Series B
Journal Article
JKJerzy Ka̧kOl
Jerzy Ka̧kOlALArkady Leiderman
Arkady LeidermanWe prove that the locally convex space
of continuous real-valued functions on a Tychonoff space
equipped with the topology of pointwise convergence is distinguished if and only if
is a
-space in the sense of Knight in [Trans. Amer. Math. Soc. 339 (1993), pp. 45–60]. As an application of this characterization theorem we obtain the following results: [1)] If
is a Čech-complete (in particular, compact) space such that
is distinguished, then
is scattered. [2)] For every separable compact space of the Isbell–Mrówka type
, the space
is distinguished. [3)] If
is the compact space of ordinals
, then
is not distinguished. We observe that the existence of an uncountable separable metrizable space
such that
is distinguished, is independent of ZFC. We also explore the question to which extent the class of
-spaces is invariant under basic topological operations.
23 December 1997 in Journal of the London Mathematical Society
Journal Article
ALArkady Leiderman
Arkady Leiderman
Sidney Allen MorrisVPVladimir Pestov
Vladimir Pestov
1 August 2017 in Topology and its Applications
Journal Article
Taras BanakhALArkady Leiderman
Arkady Leiderman1 June 2018 in Topology and its Applications
Journal Article
Taras BanakhALArkady Leiderman
Arkady LeidermanAbout Me
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