Course: Algebraic and Differential Topology III

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Course title Algebraic and Differential Topology III
Course code MU/04070
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
  • MARVAN Michal, doc. RNDr. CSc.
Course content
Singular homology and cohomology with coefficients; free resolvents, functors Tor and Ext, Universal Coefficient Theorem; Künneth Formula, Eilenberg-Zilber Theorem. Cohomological operations. Basic sheaf theory, acyclic resolvents, abstract and special de Rham theorem

Learning activities and teaching methods
Recommended literature
  • R. M. Switzer. Algebraic Topology - Homotopy and Homology. Berlin.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Geometry and Global Analysis (1) Mathematics courses 2 Winter