SoSe 17: Aufbaumodul: Topologie III
Elmar Vogt
Zusätzl. Angaben / Voraussetzungen
Attention!
Because of scheduling problems and because Lecture 19234201, "Categories and Homotopy Theory "
by Daniela Egas Santander presupposes portions of "Topology III", the dates of the two lectures will be as follows:
Both courses will run on Tu 12-14, SR 031/A7 and on Th 12-14, SR 140/A7 (Hinterhaus)
Topologie III starts on April 18, 2017 and ENDS on June 01, 2017
Categories and Homotopy Theory STARTS on June 06, 2017 and ends on July 20, 2017
The contents of both lectures are basic to (algebraic and geometric) topology, and we strongly recommend
for students to take both as a single package.
Exercises are conducted by Filipp Levikov and run as scheduled to cover both courses.
SchließenKommentar
Attention!
Because of scheduling problems and because Lecture 19234201, "Categories and Homotopy Theory "
by Daniela Egas Santander presupposes portions of "Topology III", the dates of the two lectures will be as follows:
Both courses will run on Tu 12-14, SR 031/A7 and on Th 12-14, SR 140/A7 (Hinterhaus)
Topologie III starts on April 18, 2017 and ENDS on June 01, 2017
Categories and Homotopy Theory STARTS on June 06, 2017 and ends on July 20, 2017
The contents of both lectures are basic to (algebraic and geometric) topology, and we strongly recommend
for students to take both as a single package.
Exercises are conducted by Filipp Levikov and run as scheduled to cover both courses.
CONTENTS of Topologie III: This will be an introduction to homotopy theory. We will cover: Higher homotopy groups,
cofiber and fiber sequences, cofibrations, fibrations, excision for homotopy groups with applications to calculating
homotopy groups of spaces important for topology and geometry, CW-approximation and cellular approximation,
Whitehead Theorem, Hurewicz Theorem, spectra and their relation to cohomology and homology theories.
For the content of the lecture "Categories and Homotopy Theory" go to Lecture 19234201 in KVV or eVV
SchließenLiteraturhinweise
The books that can be used for these topics are:
-
T. tom Dieck: Algebraic Topology, EMS 2008, Chapters 4 - 8;
-
A. Hatcher: Algebraic Topology, available online https://www.math.cornell.edu/~hatcher/AT/AT.pdf ,Chapter 4;
-
J.P. May: A Concise Course in Algebraic Topology, The University of Chicago Press, 1999, available online:
https://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf.
14 Termine
Regelmäßige Termine der Lehrveranstaltung