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  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Introduction to Geometric Topology MATH423 FALL-SPRING 3+0 E 6
    Learning Outcomes
    1-Interprets the construction of the surfaces
    2-Computes some basic invariants used for the classification of the surfaces
    3-Classifies the surfaces
    4-Interprets the surfaces in a combinatorial way
    5-Computes homology groups
    Prerequisites Topology I, Topology II, Algebra I
    Language of Instruction English
    Responsible Asst. Prof. Dr. Hanife Varlı
    Instructors -
    Assistants -
    Resources R1. Kinsey. L. C. (1993). Topology of Surfaces, Springer-Verlag R2. Introduction to Geometric Topology Lecture notes
    Supplementary Book SR1. Bozhüyük, M. E. (1984). Genel Topolojiye Giriş (Uzaylar Bilimi), Atatürk Üniversitesi Basım Evi SR2. Bloch, E. D. (1997). A first course in Geometric Topology and Differential Geometry, Birkhauser Boston Inc.Div. of Springer-Verlag N.Y., Inc. 675 Massachusetts Avenue Cambridge, MAUnited States SR3. Karaca, İ. Geometrik Topology ders notları
    Goals To introduce the concept of the surface and show its construction. To demonstrate the invariants used for the classification of the surfaces.
    Content Surfaces, connected sums, classification of the surfaces and some invariants, simplicial complexes, and homology groups
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