Topological Algebra. Topological Groups.
Topological Dynamics.
Representations of
dynamical systems on Banach spaces.
Transformation (semi)groups in Topology and Functional Analysis.
Key subgroups in the Polish group of the automorphisms of the rational circle
ArXiv 2024
A note about dual representations of group actions on Lipschitz-free spaces
ArXiv 2024
Non-archimedean topological monoids
(joint with Menachem Shlossberg)
Semigroup Forum 109 (2024), 597-625
pdf
Key subgroups in topological groups
(with Menachem Shlossberg)
Forum Mathematicum (accepted)
ArXiv 2023
Topological group actions by group automorphisms and Banach representations
Forum Mathematicum, v. 36, n. 2, 2024, 327-338
pdf
Maximal equivariant compactifications
Topology Appl. 329 (2023)
pdf
Minimality of topological matrix groups and Fermat primes
(with Menachem Shlossberg)
Topology Appl. v. 322, 2023
pdf
Tameness and Rosenthal type locally convex spaces
(with Matan Komisarchik)
Revista de la Real Academia de Ciencias Exactas, 117(3):153, 2023
pdf
Orderable groups and semigroup compactifications
Monatsch. Math. 200 (2023)
pdf
Todorcevic' trichotomy and a hierarchy in the class of tame dynamical systems
(with Eli Glasner)
Trans. AMS 375 (2022), 4513--4548.
pdf
Maximal equivariant compactification of the Urysohn spaces and other metric structures
(with Tomas Ibarlucia)
Advances in Mathematics v. 380, 2021, 107599
pdf
Circular orders, ultrahomogeneity and topological groups
(with Eli Glasner)
AMS Contemporary Mathematics book series volume "Topology, Geometry,
and Dynamics: Rokhlin - 100", v. 772 (2021)
ArXiv (version 2022)
Median pretrees and functions of bounded variation
Topology and Applications 285 (2020)
pdf
Group actions on treelike compact spaces
(with Eli Glasner)
Science China Math. 62 (2019)
pdf
Tame functionals on Banach algebras
in: Banach algebras and Applications,
Edited by Mahmoud Filali,
Volume 5/31, De Gruyeter, 2019.
ArXiv
More on tame dynamical systems
(with Eli Glasner)
(March, 2018),
chapter in: Ergodic Theory and Dynamical Systems in their
Interactions with Arithmetics and Combinatorics,
Lecture Notes v. 2213, Springer, 2018, pp. 351--392.
pdf (revised February, 2023)
A note on the topological group c_0
pdf Axioms 7 (2018)
Circularly ordered dynamical systems (with Eli Glasner)
Monatsh. Math. 185 (2018), 415-441
pdf
Minimality of the semidirect product
(with Luie Polev and Menachem Shlossberg)
Topology Proc., 49 (2017), 199-214
pdf
Non-archimedean transportation problems and Kantorovich ultra-norms
(with Menachem Shlossberg)
P-Adic Numbers, Ultrametric Analysis, and Applications, 8 (2016),
125-148
pdf
A note on tameness of families having bounded variation
Topology Appl. 217 (2017)
pdf
Order and minimality of some topological groups
(with L. Polev)
Topology Applications, 201 (2016), 131-144.
pdf
Eventual nonsensitivity and tame dynamical systems
(with E. Glasner), 2016.
ArXiv version 18/09/16
Minimality properties in topological groups
(with D. Dikranjan)
Survey paper in:
Recent Progress in General Topology III, Springer, Atlantis Press, 2013
pdf (updated version October, 2013)
Representations of dynamical systems on Banach spaces
(with E. Glasner)
Survey paper in:
Recent Progress in General Topology III, Springer, Atlantis Press, 2013
pdf (updated version 17.09.13)
Free non-archimedean topological groups,
(with M. Shlossberg).
Comm. Math. Univ. Carolinae 54:2, 2013, 273-312
pdf
(updated version 14.06.2013)
Banach representations and affine compactifications of dynamical systems
(with E. Glasner)
Fields institute proceedings dedicated to the 2010
thematic program on asymptotic geometric analysis. Arxiv
(06.10.2012)
Representations of dynamical systems on Banach spaces
not containing l_1 (with E. Glasner)
Transactions of the Amer. Math. Soc., 364 (2012), 6395-6424
pdf
On fixed point theorems and nonsensitivity
(with E. Glasner)
Israel Journal of Mathematics, 190 (2012), 298-305
pdf
Notes on non-archimedean topological groups, (with M. Shlossberg)
Topology and its Applications, 159 (2012),
2497-2505
pdf
Relative minimality and co-minimality of subgroups in topological (with D. Dikranjan)
groups
Topology and its Applications 157 (2010), 62-76
pdf
Semigroup actions: proximities, compactifications and normality
(with L. Google)
Topology Proceedings 35 (2010), 1-35
pdf
On metrizable enveloping semigroups (with E. Glasner and V.V. Uspenskij)
Israel Journal of Math. 164 (2008), 317-332.
pdf
Reflexively representable but not Hilbert representable compact flows and
semitopological semigroups
Colloquium Math., 110 (2008), no.2, 383-407
pdf
Every topological group is a group retract of a minimal group
Topology and its Applications, 155 (2008), 2105-2127
pdf
New algebras of functions on topological groups
arising from G-spaces [with E. Glasner]
Fundamenta Math., 201 (2008), 1-51
arxiv (revised version 2025)
A note on sensitivity of semigroup actions (with E. Kontorovich)
Semigroup Forum, 76 (2008), no.1, 113-141
pdf
Compactifications of Semigroups and Semigroup Actions Topology Proceedings, 31 (2007), 611-650. pdf
Hereditarily non-sensitive dynamical systems [with E. Glasner] Colloq. Math., 104 (2006), no.2, 223-283.
pdf
Generalized Heisenberg groups and Shtern's question Georgian Mathematical Journal, vol. 11 (2004), number 4, 775-782
ps pdf
Globalization of Confluent
Partial Actions on Topological and Metric Spaces
[with L. Schroder]
Topology Applications, vol. 145, 2004, 119-145
ps pdf
Fragmentability and representations of flows Topology Proceedings, 27:2 (2003), 497-544
pdf (arxiv revised version 2019)
Reflexively but not unitarily
representable topological groups Topology Proceedings, v. 25, 2002, 615-625
ps.file
dvi.file pdf
Every semitopological semigroup compactification
of H_+[0,1] is trivial SEMIGROUP FORUM, vol. 63, no. 3, 2001, 357-370
pdf
dvi.file
A Note on the precompactness of weakly almost periodic groups
[with V. Pestov and V. Uspenskij]
In: "Nuclear groups and Lie groups",
Research and Exposition in Math. series,
vol. 24, Heldermann Verlag Berlin, 2001, 209-216
ps.file
dvi.file pdf
Operator topologies and reflexive representability
In: "Nuclear groups and Lie groups", Research and Exposition in Math. series,
v. 24, Heldermann Verlag Berlin, 2001, 197-208
ps.file
dvi.file pdf
The equivariant universality and couniversality of the Cantor cube
[Joint work with T. Scarr]
Fundam. Math., vol. 167, 2001, 269-275
ps.file
dvi.file pdf
Groupoid preactions by partial homeomorphisms and homogenizations In: Categorical Methods in Algebra and Topology, CatMAT 2000
Mathematik-Arbeitspapiere Nr. 54 (ed.: H. Herrlich and H. Porst),
2000, 279-292
pdf.file
G-Minimal topological groups In: Abelian Groups, Module Theory and Topology,
Lecture Notes in Pure and Applied Algebra,
Marcel Dekker, vol. 201, 1998, 289-300
pdf
dvi.file
Fragmentability and Continuity of semigroup actions Semigroup Forum, vol. 57, 1998, no. 1, 101-126
pdf
Constructing Tychonoff G-Spaces which are not G-Tychonoff [Joint with T. Scarr]
Topology and its Applications, v. 86, 1998, no.
1, 69-81
pdf
dvi.file
Eberlein groups and compact semitopological semigroups
Bar-Ilan University Preprint, 1998
pdf
dvi.file
Operator topologies and reflexive representability of groups Bar-Ilan University Preprint, 1998
ps.file
dvi.file
Uniformities and uniformly continuous functions on locally connected groups
[Joint with P. Nickolas and V. Pestov]
Bull. Austral. Math. Society, vol. 56, 1997, 279-283
pdf
Minimal Non-Totally Minimal Topological Rings Rendiconti del Seminario Matematico della Universita
di Padova
v. 97, 1997, 73-79
pdf
dvi.file
Free topological G-Groups over semigroup actions Annals of the New York Academy of Sciences, vol. 788
1996, 164-170
pdf
dvi.file
Free topological G-groups New Zealand Journal of Mathematics, vol. 25, no. 1,
1996, 59-72
ps.file
dvi.file
Group representations and construction of minimal topological groups
Topology and its Applications, v. 62, 1995, 1-19
pdf
dvi.file
Michael Megrelishvili
e-mail:
megereli@math.biu.ac.ilDepartment
of Mathematics
