Topological Algebra. Topological Groups.
Topological Dynamics.
Representations of
dynamical systems on Banach spaces.
Transformation (semi)groups in Topology and Functional Analysis.
SOME WORKS
Tameness and Rosenthal type locally convex spaces (joint with Matan Komisarchik), Revista de la Real Academia de Ciencias Exactas (accepted) ArXiv
Minimality of topological matrix groups and Fermat primes (joint with Menachem Shlossberg). Topology Appl. v. 322, 2023
ArXiv
Topological group actions by group automorphisms and Banach representations, Forum Mathem. (accepted)
ArXiv
Orderable groups and semigroup compactifications, Monatsch. Math. 2022
ArXiv
Todorcevic' trichotomy and a hierarchy in the class of tame dynamical systems
(Joint work with Eli Glasner)
Trans. AMS 375 (2022), 4513--4548.
ArXiv
Maximal equivariant compactification of the Urysohn spaces and other metric structures
(Joint work with Tomas Ibarlucia)
Advances in Mathematics v. 380, 2021, 107599
ArXiv
Median pretrees and functions of bounded variation
Topology and Applications 285 (2020).
ArXiv
Group actions on treelike compact spaces
(joint with Eli Glasner)
Science China Math. 62, pages 2447-2462 (2019).
ArXiv
Circular orders, ultrahomogeneity and topological groups
(with Eli Glasner)
AMS Contemporary Mathematics book series volume "Topology, Geometry,
and Dynamics: Rokhlin - 100" (to appear).
ArXiv
Tame functionals on Banach algebras
in: Banach algebras and Applications,
Editor in Chief M. Mustermann und M. Maier,
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)
Circularly ordered dynamical systems
(with Eli Glasner)
pdf , Monatsh. Math. 185 (2018), 415-441.
Minimality of the semidirect product
(with Luie Polev and Menachem Shlossberg)
ArXiv (2016), Topology Proc., 49 (2017), 199-214.
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
ArXiv version
Topology Appl. 217 (2017), 20.
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).
pdf (updated version October, 2013)
Survey paper in:
Recent Progress in General Topology III, Springer, Atlantis Press, 2013.
Representations of dynamical systems on Banach spaces
(with E. Glasner).
pdf (updated version 17.09.13)
Survey paper in:
Recent Progress in General Topology III, Springer, Atlantis Press, 2013.
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
groups, (with D. Dikranjan)
Topology and its Applications 157 (2010), 62-76
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 (June, 2005 (revised: September, 2019))
Reflexively but not unitarily
representable topological groups Topology Proceedings, vol. 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. ps.file
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
Operator topologies and
reflexive representability
In: "Nuclear groups and Lie groups" Research and Exposition in Math. series,
vol. 24, Heldermann Verlag Berlin, 2001, 197-208. ps.file
dvi.file
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
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. ps.file
dvi.file
Fragmentability
And Continuity of Semigroup Actions Semigroup Forum, vol. 57, 1998, no. 1, 101-126.
ps.file
dvi.file
Constructing
Tychonoff G-Spaces Which Are Not G-Tychonoff [Joint work with T. Scarr] Topology and its Applications, vol. 86, 1998, no.
1, 69-81. ps.file
dvi.file
Eberlein groups and compact semitopological semigroups
Bar-Ilan University Preprint, 1998. ps.file
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 paper with P.Nickolas (University of Wollongong)
and V. Pestov (University of Wellington)] Bull. Austral. Math. Society, vol. 56, 1997, 279-283. pdf
Minimal
Non-Totally Minimal Topological Rings Rendiconti del Seminario Matematico della Universita
di Padova, vol. 97, 1997, 73-79. ps.file
dvi.file
Free
Topological G-Groups Over Semigroup Actions Annals of the New York Academy of Sciences, vol. 788,
1996, 164-170. ps.file
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, vol. 62, 1995, 1-19. ps.file
dvi.file
Michael Megrelishvili
e-mail:
megereli@math.biu.ac.ilDepartment
of Mathematics
