Seminars and Courses
Michael Megrelishvili
Professor
Bar-Ilan University, Israel
Department of Mathematics, room no. 112
e-mail:
megereli@math.biu.ac.il
Main page
Course: Topological Groups in Analysis and Topology 2022
Lecture Notes (updated 04.07.22)
Homeworks (updated 04.07.22)
Some useful material
"Topology Without Tears" by Sidney A. Morris (Appendix 5)
Some facts about Topological Groups (in Hebrew)
Topology course 2021 PDF
Some background
material PDF
Topological Groups: Where to from here? by Vladimir Pestov (survey work)
Minicourse: Banach representations of dynamical systems
Warsaw, April 2014
Lecture Notes: Lecture Notes
(updated 16.04.14)
Homeworks:
Exercises (07.04.14)
Some Related Papers
Representations of dynamical systems on Banach spaces
(Joint work with E. Glasner).
pdf (updated version 17.09.13)
Survey paper in:
Recent Progress in General Topology III, Springer, Atlantis Press, 2013.
Topological Groups: Where to
from here? by Vladimir Pestov
Compactifications of topological groups by Vladimir Uspenskij
Banach representations and affine compactifications of dynamical systems
(Joint work with E. Glasner).
Fields institute proceedings dedicated to the 2010
thematic program on asymptotic geometric analysis.
Arxiv version
(06.10.2012)
Representations of dynamical systems on Banach spaces
not containing $l_1$
(Joint work with E. Glasner).
Transactions of the Amer. Math. Soc., 364 (2012), 6395-6424.
pdf
On fixed point theorems and nonsensitivity
(Joint work with E. Glasner)
Israel Journal of Mathematics, 190 (2012), 298-305.
pdf
On metrizable enveloping semigroups
(Joint work with E. Glasner and V.V. Uspenskij)
Israel Journal of Math. 164 (2008), 317-332.
pdf
Some new algebras of functions on topological groups
arising from $G$-spaces
[Joint work with E. Glasner]
(March, 2008) Fundamenta Math., 201 (2008), 1-51.
pdf
Hereditarily non-sensitive dynamical systems
[Joint work with E. Glasner]
Colloq. Math., 104 (2006), no.2, 223-283.
pdf
Fragmentability and representations of flows
Topology Proceedings, 27:2 (2003), 497-544.
pdf (June, 2005 (revised: February, 2014))
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
Fragmentability
And Continuity of Semigroup Actions
Semigroup Forum, vol. 57, 1998, no. 1, 101-126.
ps.file
dvi.file
Seminar: Topology and Functional Analysis 2011
Syllabus
Student talks (2011)
Michael Kriheli,
Chaos theory and dynamical systems
latex
pdf
Lena Gurevich, Countable products
pdf
Gili Golan, The product topology
pdf
Seminar: Topology and Functional Analysis 2009
STUDENT TALKS (2009)
Meny Shlossberg, Function spaces,
latex
pdf
Yehonatan Salman, Fixed Point Theorems,
latex
pdf
Doron Ben Hadar, Compactifications,
latex
pdf
Eduard Kontorovich, Baire's theorem,
latex
pdf
Vered-Hana Moscovich, Norm, strong, and weak operator topologies
B(H),
latex
pdf
2006
Seminar: TOPOLOGY of ACTIONS and REPRESENTATIONS (2006)
STUDENT TALKS
Meny Shlosberg -- Concrete topological groups and minimality
latex
pdf
Ephi Cohen -- The Platonic groups
latex
pdf
Leonid Gugel -- Compactifications of semigroup actions
latex
pdf
Meital Elyahu and Shay Hamama --
Topological groups and Teleman's theorem 1
latex
pdf
Shay Hamama and Meital Elyahu --
Topological groups and Teleman's theorem 2
latex
pdf
Mickey Starik --
Metrization of Topological groups
latex
pdf
Uryia First -- Linear group actions on Asplund spaces
latex
pdf
Yuval Kohavi and Hadar Davidovich --
Topological dimensions
latex
pdf
2005
Seminar: Actions and number theory (2005)
STUDENT TALKS
Moshe David, Kronecker Theorem and The Minimality of
Certain Flows
(pdf,
latex)
Eduard Kontorovich, About chaos and sensitivityin topological dynamics
(pdf)
Leonid Gugel, A dynamical proof of Wan der Warden's Theorem
(pdf,
latex)
Dani Shitrit, Interval maps
(pdf)
Meny Shlosberg, Topological Groups, Semi-Direct Products
and Relative Minimality
(pdf)
Ronen Harari, Transitivity: examples and basic properties
(pdf)
Igor Grossman, A dynamical proof of Wan der Warden's Theorem:
second approach
(pdf)
SOME MATH LINKS
On-line book: "Elementary Topology. Textbook in Problems" by Viro, Kharlamov, Netsvetaev, Ivanov
MathWorld
MathPages
History
of Mathematics
Beamer presentation
Example PDF-file
&
Tex-file
Mathematical quotations
Math departments in Israel
Bar-Ilan
Jerusalem
Tel Aviv
Beer-Sheva
Haifa
Technion
e-mail:
megereli@math.biu.ac.il
Department
of Mathematics
Revision Date 7/2/17