Set theoretic methods in topology and in Banach space theory.

2013/11/B/ST1/03596

Keywords

Descriptors

ST1_1: Logika i podstawy matematyki
ST1_6: Topologia
ST1_9: Algebry operatorowe i analiza funkcjonalna

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

Voivodeship: dolnośląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Grzegorz Plebanek

Number of co-investigators in the project: 2

Call

OPUS 6 – announced on 2013-09-16

Amount awarded: 203 560 PLN
Project start date: 2014-08-01
Project end date: 2017-09-30
Project duration: 38 months (the same as in the proposal)
Project status: Project settled

Equipment purchased [PL]

Laptopy. Cost: 7 000 PLN

Information in the final report

Publication in academic press/journals (16)

Extensions operators and twisted sums of $c_0$ and $C(K)$ spaces

Authors:
Witolda Marciszewski, Grzegorz Plebanek

Academic press:
Journal of Functional Analysis (year: 2018, volume: 274/5, pages: 1491-1529), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jfa.2017.09.004 – link to the publication
Measures on Suslinean spaces

Authors:
Piotr Borodulin-Nadzieja, Grzegorz Plebanek

Academic press:
Fundamenta Mathematicae (year: 2016, volume: 235, pages: 287-302), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
10.4064/fm229-3-2016 – link to the publication
Hyper-Stonean envelopes of compact spaces

Authors:
H. Garth Dales, Grzegorz Plebanek

Academic press:
Studia Mathematica (year: 2019, volume: 246//1, pages: 31-46.), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
10.4064/sm170815-14-2 – link to the publication
A Little Ado about Rectangles

Authors:
Antonio Aviles, Grzegorz Plebanek

Academic press:
American Mathematical Monthly (year: 2017, volume: 124, pages: 345-350), Publisher: Mathematical Association of America

Status:
Published

DOI:
10.4169/amer.math.monthly.124.4.345 – link to the publication
Representations of ideals in Polish groups and in Banach spaces

Authors:
Piotr Borodulin-Nadzieja, Barnabas Farkas, Grzegorz Plebanek

Academic press:
Journal of Symbolic Logic (year: 2015, volume: 80/4, pages: 1268-1289), Publisher: Association of Symbolic Logic

Status:
Published

DOI:
10.1017/jsl.2014.63 – link to the publication
Measures and slaloms

Authors:
Piotr Borodulin-Nadzieja, Tanmay Inamdar

Academic press:
Fundamenta Mathematicae (year: 2017, volume: 239, pages: 149-176), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
10.4064/fm318-10-2016 – link to the publication
Weakly Radon-Nikodym Boolean algebras and independent sequences

Authors:
Antonio Aviles, Gonzalo Martinez-Cervantes, Grzegorz Plebanek

Academic press:
Fundamenta Mathematicae (year: 2018, volume: 241/1, pages: 45-66), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
10.4064/fm404-5-2017 – link to the publication
Nonseparable growth of the integers supporting a measure

Authors:
Piotr Drygier, Grzegorz Plebanek

Academic press:
Topology and its Applications (year: 2015, volume: 191, pages: 58-64), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.topol.2015.05.051 – link to the publication
Compactifications of omega and the Banach space $c_0$

Authors:
Piotr Drygier, Grzegorz Plebanek

Academic press:
Fundamenta Mathematicae (year: 2017, volume: 237, pages: 165-186.), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
10.4064/fm263-6-2016 – link to the publication
Measures and fibers

Authors:
Piotr Borodulin-Nadzieja

Academic press:
Topology and its Applications (year: 2016, volume: 210, pages: 201-2015), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.topol.2016.07.018 – link to the publication
On disconnected images of connected spaces

Authors:
Antonio Aviles, Grzegorz Plebanek

Academic press:
Topology and its applications (year: 2017, volume: 228, pages: 108-124), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.topol.2017.05.013 – link to the publication
The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces

Authors:
S. Gabriyelyan, J. Kąkol, Grzegorz Plebanek

Academic press:
Studia Mathematica (year: 2016, volume: 233, pages: 119-139), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
link to the publication
Countable tightness in the spaces of regular probability measures

Authors:
Grzegorz Plebanek, Damian Sobota

Academic press:
Fundamenta Mathematicae (year: 2015, volume: 229, pages: 159-169), Publisher: Polska Akademia Nauk

Status:
Published

DOI:
10.4064/fm229-2-4 – link to the publication
On properties of compacta that do not reflect in small continuous images

Authors:
Menachem Magidor, Grzegorz Plebanek

Academic press:
Topology and its Applications (year: 2017, volume: 220, pages: 131-139), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.topol.2017.02.013 – link to the publication
Tukey classification of some ideals in N and the lattices of weakly compact sets in Banach spaces

Authors:
Antonio Aviles, Grzegorz Plebanek, Jose Rodriguez

Academic press:
Advances in Mathematics (year: 2017, volume: 310, pages: 696-758), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.aim.2017.02.017 – link to the publication
On non-separable growths of omega supporting measures

Authors:
Piotr Borodulin-Nadzieja, Tomasz Żuchowski

Status:
Accepted for publication

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