MU02022 Topology

Mathematical Institute in Opava
Winter 2012
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
doc. RNDr. Zdeněk Kočan, Ph.D. (seminar tutor)
RNDr. Petr Vojčák, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The course will provide the students with the basic knowledge of general topology.
Syllabus
  • 1. Topological structure on a set
    2. Continuous maps, homeomorphisms
    3. Construction of topological spaces
    4. Metric spaces
    5. Compact and locally compact topological spaces
    6. Convergence in topological spaces
    7. Connected and arcwise connected topological spaces
    8. Regular, normal and paracompact topological spaces
Literature
    recommended literature
  • D. Krupka, O. Krupková. Topologie a geometrie, 1. Obecná topologie. SPN, Praha, 1989. info
  • J. R. Munkres. Topology, A First Course. Prentice Hall, New Jersey, 1975. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
The examination is oral.
The course is also listed under the following terms Winter 1997, Winter 1998, Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2012, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2012/MU02022