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  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Topology I MATH205 FALL 4+0 C 6
    Learning Outcomes
    1-Analyzes the relationship between metric and topological spaces.
    2-Makes the operations on topological structure.
    3-Comments the interior, closure, frontier and exterior of a given set.
    4-Explains the notion of homeomorphism
    Prerequisites -
    Language of Instruction English
    Responsible Assoc. Prof. Dr. Mustafa ASLANTAŞ
    Instructors -
    Assistants -
    Resources R1. Willard, S. (1970). General Topology, Reading. Mass.: Addison Wesley Pub. Co. R2. Lecture Notes
    Supplementary Book SR1. Seymour, L. (1965). Shaum`s outline of theory and problems of general Topology. SR2. Engelking, R. (1989) General Topology, Helderman Verlag Berlin
    Goals Introduce topological spaces and the notion of base for a topology. To investigate the interior, closure, frontier of a set and the set of accumulation points and isolated points of a set s in a topological space, continuity in topological spaces and homeomorphisms.
    Content Topological spaces, base for a topology and subbase, topological neighbourhood systems, the interior, closure, frontier and exterior of a set, the set of accumulation and isolated points of a set., continuity in topological spaces, homeomorphisms, open and closed mappings,
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