401255400L Topology
Semester  Spring Semester 2020 
Lecturers  A. Carlotto 
Periodicity  yearly recurring course 
Language of instruction  English 
Courses
Number  Title  Hours  Lecturers  

401255400 V  Topology  3 hrs 
 A. Carlotto  
401255400 U  Topology Groups are selected in myStudies.  2 hrs 
 A. Carlotto 
Catalogue data
Abstract  Topics covered include: Topological and metric spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces. 
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. 
Literature  We will follow these, freely available, standard references by Allen Hatcher: i) Link (for the part on General Topology) ii) Link (for the part on basic Algebraic Topology). Additional references include: "Topology" by James Munkres (Pearson Modern Classics for Advanced Mathematics Series) "Counterexamples in Topology" by Lynn Arthur Steen, J. Arthur Seebach Jr. (Springer) "Algebraic Topology" by Edwin Spanier (Springer). 
Prerequisites / Notice  The content of the firstyear courses in the Bachelor program in Mathematics. In particular, each student is expected to be familiar with notion of continuity for functions from/to Euclidean spaces, and with the content of the corresponding basic theorems (Bolzano, Weierstrass etc..). In addition, some degree of scientific maturity in writing rigorous proofs (and following them when presented in class) is absolutely essential. 
Performance assessment
Performance assessment information (valid until the course unit is held again)  
Performance assessment as a semester course  
In examination block for  Bachelor's Degree Programme in Mathematics 2016; Version 25.02.2020 (Examination Block 2) Bachelor's Programme in Mathematics 2010; Version 24.02.2016 (Examination Block 2) 
ECTS credits  6 credits 
Examiners  A. Carlotto 
Type  session examination 
Language of examination  English 
Repetition  The performance assessment is offered every session. Repetition possible without reenrolling for the course unit. 
Mode of examination  written 120 minutes 
Written aids  None. 
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block. This information can be updated until the beginning of the semester; information on the examination timetable is binding. 
Learning materials
Main link  Vorlesungshomepage 
Only public learning materials are listed. 
Groups
401255400 U  Topology  
Registration for groups in myStudies is possible until 17.03.2020.  
 
Groups  G01 
 
G02 
 
G03 
 
G04 
 
G05 

Restrictions
Groups  Restrictions are listed under Groups 
Offered in
Programme  Section  Type  

Mathematics Bachelor  Examination Block II  O 