1 semester

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Name of the discipline Additional heads of topology

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Course of Study 1, specialty “Mathematics”

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Semester of training

1

4

Amount of credits

4

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Full name of lecturer Candidate of Physical and Mathematical Sciences, associate professorVladimir  Timoxovich
6 Objectives of the study of discipline  A systematic and comprehensive study of  concepts and constructions of topology.  Mastering the basic methods of   topological spaces and objects in topological spaces.Acquisition of sufficient knowledge, skills and abilities   for students to use in studying other mathematical disciplines.

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Prerequisites

Mathematical analysis, Algebra and number theory.  Differential geometry and topology.

8 Content of discipline 

Topological and metric spaces, base of topology, continuous mapping, topological product. Concept of compactness. Tychonoff spaces and Tychonoff  cube. The Tychonoff   embedding theorem. Concept of compactificaton.

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Recommended literature 
  1. Engelking R. General topology. Moscow: Mir, 1986.
  2. Topology. Edited by Fedenko A.S. Minsk. Vysshaya Shkola, 1990
  3. Fedorchuk V.V., Filippov B.B. General topology. Moscow: MSU, 1988.

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Teaching Methods 

Motivational-competent, problematic, dialogue-heuristic, visual.

11 Language of teaching russian 
12 Conditions (requirements),routine control
  • Individual tasks;
  • test papers. 
13 Form of  current assessment  Exam