Działalność naukowa / Seminaria w IM PAN

Obecnie zajmujemy się następującymi tematami

1. problem Enflo-Rosenthala (1973),
2. twierdzenie Gowersa o dychotomii (1993),
3. problem Drewnowskiego i Robertsa (1991) o pewnych własnościach przestrzeni l∞/c0,
4. partycjonery (Baumgartner-Wesse (1982)).

Kolejne spotkania odbędą się  9. 16. 23. i 29 maja (zamiast 30 maja), 6. i 13. czerwca. 

_______________________________________________________________________________________________

W semestrze leetnim 2018/2019 kotynuujemy rozważania wokół tematów

1. problem Enflo-Rosenthala (1973),
2. problem Kuratowskiego (1935),
3. twierdzenie Gitika – Shelaha (1989),
4. twierdzenie Gowersa o dychotomii (1993),
5. problem Drewnowskiego i Robertsa (1991) o pewnych własnościach przestrzeni l∞/c0.

Kolejne spotkania odbędą się  7.03, 14.03, 21.03, 28.03, 4.04, 11.04.2019. Semenarium wznowione będzie po po 5.05.2019.

_______________________________________________________________________________________________

Od lutego 2019 kontynuujemy rozważania na temat problemu Enflo-Rosenthala (1973), a ponadto zajmujemy się:

1. badaniem powiązań istnienia rozkładu Kuratowskiego  (problem Kuratowskiego z 1935)  oraz twierdzeniem Gitika – Shelaha (1989),
2. rozważaniami wokół twierdzenia Gowersa o dychotomii (1993),
3. problemem Drewnowskiego i Robertsa (1991) o pewnych własnościach przestrzeni l∞/c0.

Kolejne spotkania odbędą się  1.02(piątek), 5.02(wtorek), 8.02(piątek), 13.02(środa), 28.02(czwartek). 

_______________________________________________________________________________________________

Od stycznia 2019 kontynuujemy rozważania na temat problemu Enflo-Rosenthala (1973), a ponadto zajmujemy się:

1. badaniem powiązań istnienia rozkładu Kuratowskiego  (problem Kuratowskiego z 1935)  oraz twierdzeniem Gitika – Shelaha (1989),
2. rozważaniami wokół twierdzenia Gowersa o dychotomii (1993),
3. problemem Drewnowskiego i Robertsa (1991) o pewnych własnościach przestrzeni l∞/c0.

Kolejne spotkania odbędą się  10.01.2019, 17.01, 24.01, 30.01(środa zamiast 31.01).

Seminarium wznowione będzie w semestrze letnim 2018/2019 zgodnie z kalendarzem akademickim Politechniki Wrocławskiej (http://pwr.edu.pl/kalendarz-akademicki-semestr-zimowy-2018-2019).

_______________________________________________________________________________________________

W semestrze zimowym 2018/2019* seminarium poświęcone będzie dwóm problemom

1. Problem (Enflo-Rosenthal (1973)) Niech 1p(μ) jest nieośrodkowa. Czy L^p(μ) może być podprzestrzenią przestrzeni Banacha z bazą bezwarunkową?

2. Badanie struktury algebry P(ω)/ ᴧ, gdzie ᴧ oznacza rodzinę podzbiorów ω z gęstością asymptotyczną 0.

Kolejne spotkania odbędą się 18,10, 25.10, 8.11, 15.11, 23.11(piątek zamiast 22.11), 29.11, 6.12, 12.12(środa zamiast 13.12), 20.12, 10.01.2019, 17.01, 24.01, 30.01(środa zamiast 31.01).

Po przerwie międzysemestralnej* seminarium zostanie wznowione.

*zgodnie z kalendarzem akademickim Politechniki Wrocławskiej (http://pwr.edu.pl/kalendarz-akademicki-semestr-zimowy-2018-2019).

_______________________________________________________________________________________________

2017-12-05 at 15:15 in room C4-245 (Wrocław University of Science and Technology)

Sławomir Szczepaniak (Wrocław University of Science and Technology)

"Transfinite bases in Banach spaces - continuation"

Abstract:

We discuss some analytical and set-theoretic aspects of the existence of long basic sequences in non-separable Banach spaces.

_______________________________________________________________________________________________

2017-11-28 at 15:15 in room C4-245 (Wrocław University of Science and Technology)

Sławomir Szczepaniak (Wrocław University of Science and Technology)

"Transfinite bases in Banach spaces - continuation"

Abstract:

We discuss some analytical and set-theoretic aspects of the existence of long basic sequences in non-separable Banach spaces.

_______________________________________________________________________________________________

2017-11-21 at 15:15 in room C4-245 (Wrocław University of Science and Technology)

Sławomir Szczepaniak (Wrocław University of Science and Technology)

"Transfinite bases in Banach spaces"

Abstract:

We discuss some analytical and set-theoretic aspects of the existence of long basic sequences in non-separable Banach spaces.

_______________________________________________________________________________________________

2017-11-14, at 15:15 in room C4-245 (Wrocław University of Science and Technology)

Sławomir Szczepaniak (Wrocław University of Science and Technology)

"Dugundji Theorem for metrizable and non-metrizable spaces continuation"

Abstract:

We discuss some variations of the Dugundji Theorem.

_______________________________________________________________________________________________

2017-11-07, at 15:15 in room C4-245 (Wrocław University of Science and Technology)

Sławomir Szczepaniak (Wrocław University of Science and Technology)

"Dugundji Theorem for metrizable and non-metrizable spaces"

Abstract:

We discuss some variations of the Dugundji Theorem.

_______________________________________________________________________________________________

2017-04-25, at 17:30 in room 403

Bogdan Węglorz (Cardinal Stefan Wyszyński University in Warsaw)

"Some aspects of forcing - cont" 

Abstract

There will be presented some aspects of forcing.

_______________________________________________________________________________________________

2017-03-28, at 17:30 in room 403

Bogdan Węglorz (Cardinal Stefan Wyszyński University in Warsaw)

"Some aspects of forcing" 

Abstract

There will be presented some aspects of forcing.

_______________________________________________________________________________________________

2017-03-21, at 17:30 in room 403

Bogdan Węglorz (Cardinal Stefan Wyszyński University in Warsaw)

"Models of Set Theory" 

Abstract

There will be presented examples of models of set theory.

_______________________________________________________________________________________________

2017-03-14, at 17:00 in room 403

Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)

"The proof of add(M ∩ N, N) = add(M)" 

Abstract

We prove that add(M ∩ N, N) = add(M) using ZFC only.

_______________________________________________________________________________________________

2017-02-28, at 18:30 in room 403

Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)

"On the additivity and cofinality of the intersection ideal M ∩ N" - continuation

Abstract

We prove that the additivity of the intersection ideal M ∩ N is equal to the additivity of the ideal N of null sets in the Cantor space 2^w . We show that a similar result holds also for the cofinality number of the above ideals.

_______________________________________________________________________________________________

2017-02-21, at 18:30 in room 403

Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)

"On the additivity and cofinality of the intersection ideal M ∩ N" - continuation

Abstract

We prove that the additivity of the intersection ideal M ∩ N is equal to the additivity of the ideal N of null sets in the Cantor space 2^w . We show that a similar result holds also for the cofinality number of the above ideals.

_______________________________________________________________________________________________

2017-01-24, at 18:30 in room 403

Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)

"On the additivity and cofinality of the intersection ideal M ∩ N" - continuation

Abstract

We prove that the additivity of the intersection ideal M ∩ N is equal to the additivity of the ideal N of null sets in the Cantor space 2^w . We show that a similar result holds also for the cofinality number of the above ideals.

_______________________________________________________________________________________________

2017-01-11, at 9:30 in room 106

Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)

"On the additivity and cofinality of the intersection ideal M ∩ N" 

Abstract

We prove that the additivity of the intersection ideal M ∩ N is equal to the additivity of the ideal N of null sets in the Cantor space 2^w . We show that a similar result holds also for the cofinality number of the above ideals.

_______________________________________________________________________________________________

2016-12-14, at 9:30 in room 106

Joanna Jureczko (Cardinal Stefan Wyszyński University in Warsaw)

"On Kuratowski partitions"-continuation

Abstract

It will be presented problems concerning the existence of Kuratowski partitions..

_______________________________________________________________________________________________

2016-12-07, at 9:30 in room 106

Joanna Jureczko (Cardinal Stefan Wyszyński University in Warsaw)

"On Kuratowski partitions"

Abstract

It will be presented problems concerning the existence of Kuratowski partitions.

_______________________________________________________________________________________________

2016-11-30, at 9:30 in room 106

Ryszard Frankiewicz (Institute of Mathematics of Polish Academy of Sciences)

"On asymptotic density"

Abstract

It will be presensted some problems concerning asymptotic density.

_______________________________________________________________________________________________

2016-11-23, at 9:30 in room 106

Joanna Jureczko (Cardinal Stefan Wyszyński University in Warsaw)

"Kuratowski partitions on the structure of Ellentuck topology" - continuation

Abstract

It will be presented the existence of Kuratowski partitions in some structures, especially Ellentuck topology.

_______________________________________________________________________________________________

2016-11-16, at 9:30 in room 106

Joanna Jureczko (Cardinal Stefan Wyszyński University in Warsaw)

"Kuratowski partitions on the structure of Ellentuck topology" - continuation

Abstract

It will be presented the existence of Kuratowski partitions in some structures, especially Ellentuck topology.

_______________________________________________________________________________________________

2016-11-09, at 9:30 in room 106

Joanna Jureczko (Cardinal Stefan Wyszyński University in Warsaw)

"Kuratowski partitions on the structure of Ellentuck topology"

Abstract

It will be presented the existence of Kuratowski partitions in some structures, especially Ellentuck topology.

_______________________________________________________________________________________________