Peter Feller: Catalogue data in Spring Semester 2022

Name	Prof. Dr. Peter Feller
Field	Mathematics
Address	Professur für Mathematik ETH Zürich, HG G 61.2 Rämistrasse 101 8092 Zürich SWITZERLAND
Telephone	+41 44 632 70 87
E-mail	peter.feller@math.ethz.ch
URL	https://people.math.ethz.ch/~pfeller/
Department	Mathematics
Relationship	Assistant Professor

Number	Title	ECTS	Hours	Lecturers
401-2554-00L	Topology	6 credits	3V + 2U	P. Feller
Abstract	Topics covered include: topological spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces.
Learning objective	An introduction to topology -- the domain of mathematics that studies how to define the notion of continuity on a mathematical structure, and how to use it to study and classify these structures.
Literature	Hauptreferenz: - Klaus Jänich: Topologie (Springer). https://link.springer.com/book/10.1007/978-3-662-10575-7 Weitere Referenzen: - Boto von Querenburg: Mengentheoretische Topologie (Springer). http://link.springer.com/book/10.1007/978-3-642-56860-2 - http://pi.math.cornell.edu/~hatcher/Top/TopNotes.pdf (für den ersten Teil der Vorlesung über die allgemeine (/mengentheoretische) Topologie) - http://pi.math.cornell.edu/~hatcher/AT/ATch1.pdf (für den zweiten Teil der Vorlesung über die Anfänge der algebraischen Topologie (Fundamentalgrupppe, Überlagerungen)). - James Munkres: Topology (Pearson Modern Classics for Advanced Mathematics Series). - Lynn Arthur Steen, J. Arthur Seebach Jr.: Counterexamples in Topology (Springer). - Edwin Spanier: Algebraic Topology (Springer).
401-5530-00L	Geometry Seminar	0 credits	1K	M. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang, University lecturers
Abstract	Research colloquium
Learning objective
406-2554-AAL	Topology Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement. Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.	6 credits	13R	P. Feller
Abstract	Topics covered include: Topological and metric spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces.
Learning objective	An introduction to topology i.e. the domain of mathematics that studies how to define the notion of continuity on a mathematical structure, and how to use it to study and classify these structures.
Lecture notes	See lecture homepage: https://metaphor.ethz.ch/x/2017/fs/401-2554-00L/
Literature	James Munkres: Topology
Prerequisites / Notice	The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.