IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Algebraic Topology I Semester WiSe 2025 / 26 Lecturer Ulrich Bunke Type of course (Veranstaltungsart) Vorlesung German title Algebraische Topologie I Contents Algebraic topology is the study of topological spaces using algebraic invariants. While a complete description of topological spaces in general involves an infinite amount of information algebraic topological invariants can often be expressed in finite terms. In this course we go the first steps in this direction and discuss fundamental groups and homology. We will also develop some basic categorical language and encounter first steps towards abstract homotopy theory. Literature Textbooks by Hatcher, Switzer, Laures-Szymik, the script of S. Friedl Recommended previous knowledge the contents of Analysis IV and Commutative Algebra are useful Time/Date M 102, 10-12, Mo/Do Registration Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: 50%, presentation of solutions Examination (Prüfungsleistungen) Oral exam: Duration: 25 min, Date: individual, re-exam: Date: Modules BV, MV, MGAGeo, LA-GyGeo ECTS 9

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