Topology and Combinatorics - Interactive curriculae of TU Ilmenau

The interactive curriculae provide information on the degree programmes offered by the TU Ilmenau.

Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).

You can find all details on planned lectures and classes in the course catalogue.

Please note that this page is no longer updated. All modules and study plans from PO version 2021 onwards (Bachelor and Master study programs) are now available on the Campus Portal.

module properties module number 101042 - common information
module number	101042
department	Department of Mathematics and Natural Sciences
ID of group	2417 (Combinatorics / Graph Theory)
module leader	Prof. Dr. Michael Stiebitz
language	Deutsch
term	Wintersemester
previous knowledge and experience	Lineare Algebra 1, Analysis 1 bis 3, Graphen und Algorithmen
learning outcome	Die Studierenden kennen und beherrschen die gundlegenden Begriffe, Definitionen, Schlussweisen, Methoden und Aussagen der kombinatorischen Topologie. Die Studierenden können topologische Methoden auf kombinatorische Probleme anwenden,
content	I Simpliziale Komplexe (Mengentheoretische Topologie, Homotopie, geometr, und abstrakte simpliziale Komplexe, Triangulationen) II Der Satz von Borsuk Ulam (Verschiedene Versionen des Satzes, Folgerungen aus dem Satz, Das Lemma von Tucker, Beweis des Satzes von Borsuk) III Kneser Graphen (Kneser's Vermutung, Hypergraphen und Graphen, Beweis der Kneser-Vermutung mit dem Satz von Borsuk, Nachbarschaftskomples eines Graphen, topologischer Zusammenhang)
media of instruction and technical requirements for education and examination in case of online participation	Tafel, Folien, Beamer, Skripte
literature / references	Matousek: Using the Borsuk-Ulam Theorem, Springer
evaluation of teaching

Details reference subject
module name	Topology and Combinatorics
examination number	2400569
credit points
SWS	3
on-campus program (h)
self-study (h)
obligation	elective module
exam	none
details of the certificate	werden bei Bedarf festgelet
link to Moodle course
teacher
signup details for alternative examinations
maximum number of participants

Details in degree program Master Mathematik und Wirtschaftsmathematik 2013 (WM), Master Mathematik und Wirtschaftsmathematik 2013 (AM)
module name	Topology and Combinatorics
examination number	2400569
credit points	4
on-campus program (h)	34
self-study (h)	86
obligation	elective module
exam	none
details of the certificate	werden bei Bedarf festgelet
link to Moodle course
signup details for alternative examinations
maximum number of participants