Topology I *

General data

Course ID:	1000-113aTP1*
Erasmus code / ISCED:	11.102 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 I *
Name in Polish:	Topologia I *
Organizational unit:	Faculty of Mathematics, Informatics, and Mechanics
Course groups:
ECTS credit allocation (and other scores):	(not available) 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:	Polish
Type of course:	obligatory courses
Full description:	- Metric spaces. Open and closed sets. - Topological spaces. - Continuous mappings and homemorphisms. - The basis. The interior and the closure. Dense and boundary sets. - Operations on topological spaces. - Connected spaces. - Compactness in metric and topological spaces. - Complete spaces. Baire theorem. Banach theorem. - Topology in function spaces. - Homotopy of mappings. The homotopy type of a space. - Homotopy classes of a loop on a circle. Applications. In principle the program is basically the same as for the basic Topology course. However, its contents will be presented in more depth and often in more generality. The course is addressed to students with deeper interest in the subject, who like to work on related problems.
Bibliography:	(in Polish) 1. S. Betley, J.Chaber, E. Pol, R. Pol - Topologia I (skrypt) 2. R. Engelking, K. Sieklucki - Wstęp do topologii, PWN.

This course is not currently offered.

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