MU:MU03264 Chapters in Topology II - Course Information

MU03264 Chapters in Topology II

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Guaranteed by

doc. RNDr. Kristína Smítalová, CSc.
Mathematical Institute in Opava

Prerequisites (in Czech)

MU03252 Chapters in Topology I || MU03263 Chapters in Topology I

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

• Geometry (programme MU, M1101)
• Geometry (programme MU, N1101)
• Mathematical Analysis (programme MU, M1101)
• Mathematical Analysis (programme MU, N1101)
• Physics for Secondary School Teachers (programme FPF, M1701 Fyz)
• Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz) (2)
• Secondary School Teacher Training in Mathematics (programme FPF, M7504)
• Secondary school teacher training in general subjects with specialization in Mathematics (programme FPF, M7504)

Course objectives (in Czech)

Opakování a prohloubení některých kapitol probraných v běžné přednášce topologie. Některé další kapitoly.

Syllabus (in Czech)

• - Kompaktifikace, Stoneova-Čechova kompaktifikace.
  - Reflexe ve třídě topologických prostorů, příklady.
  - Prostory spojitých zobrazení, kompaktně-otevřená topologie, Ascoliho věta.
  - Uniformní prostory, stejnoměrně spojitá zobrazení, metrizace, úplnost.
  - Homotopie, první homotopická grupa, jednoduše souvislé prostory.
  - Vybrané aplikace.

Literature

recommended literature
• D. Krupka, O. Krupková. Topologie a geometrie, 1. Obecná topologie. SPN, Praha, 1989. info
• J. L. Kelley. General Topology. Van Nostrand, Princeton, 1957. info

Language of instruction

Czech

Further comments (probably available only in Czech)

The course can also be completed outside the examination period.

• Enrolment Statistics (Summer 2008, recent)
  
• Permalink: https://is.slu.cz/course/sumu/summer2008/MU03264