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Topology and set theory

General data

Course ID:	1000-1D96TO
Erasmus code / ISCED:	11.114 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Topology and set theory
Name in Polish:	Topologia i teoria mnogości
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:	Master seminars for Mathematics
ECTS credit allocation (and other scores):	6.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	English
Type of course:	Master's seminars
Short description:	The seminar presents selected topics in set theory and general (point-set) topology.
Full description:	The seminar is devoted to presenting selected topics in set theory and general (point-set) topology. We are especially interested in topics that lie at the edge of these two branches of mathematics. Prerequisites for this course are: basic course in topology, basic course in set theory.
Bibliography:	1. A. Kechris, Classical descriptive set theory, Springer-Verlag. 2. S. Koppelberg, General theory of Boolean algebras, część I Handbook of Boolean algebras pod red. D.Monka, Elsevier. 3. A. Marcone, Complexity of sets and binary relations in continuum theory: a survey, http://www.dimi.uniud.it/marcone/ continuasurveyrevised.pdf.
Learning outcomes:	(in Polish) 1. Pogłębienie wiedzy w wybranym obszarze teorii mnogości lub topologii ogólnej 2. Poznanie wybranych, aktualnych kierunków badawczych w teorii mnogości lub topologii ogólnej. 3. Umiejętność przygotowania wystąpienia na zadany temat i przeprowadzenia poszukiwania w literaturze, również w języku angielskim (na poziomie B2+).

Classes in period "Academic year 2023/24" (in progress)

Time span:	2023-10-01 - 2024-06-16	Selected timetable range: weekly course term Navigate to timetable MO TU SEM-MGR W TH FR
Type of class:	Second cycle diploma seminar, 60 hours more information
Coordinators:	Witold Marciszewski
Group instructors:	Witold Marciszewski, Piotr Szewczak
Students list:	(inaccessible to you)
Examination:	Course - Pass/fail Second cycle diploma seminar - Pass/fail

Classes in period "Academic year 2024/25" (future)

Time span:	2024-10-01 - 2025-06-08	Selected timetable range: weekly course term Navigate to timetable
Type of class:	Second cycle diploma seminar, 60 hours more information
Coordinators:	Witold Marciszewski, Piotr Szewczak
Group instructors:	Witold Marciszewski, Piotr Szewczak
Students list:	(inaccessible to you)
Examination:	Course - Pass/fail Second cycle diploma seminar - Pass/fail

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