Hendrik Süß

# Topology (MATH31052)

• Monday 12:00-13:00, Alan Turing Building G.205
• Tuesday 13:00-15:00, Alan Turing Building G.205/G.207

### Course topics

#### 1. Topological Equivalence

What is Topology? When are two subsets of Euclidean space equivalent from the view point of topology? How to check that two subsets are or are not topologically equivalent?

#### 2. Topological Spaces

Which data determines the topology of a subset of Euclidean space? How to generalise the idea of topological equivalence?

#### 3. Constructing New Spaces: Subspaces and Product Spaces

How to construct new topological spaces out of existing ones?

### Weekly in-class exercises

Week 2, Week 3, Week 4,

### Assessment and Feedback

#### Feedback

1. from the coursework
2. during the tutorial
3. from the online quizzes
4. during my office hour, and
5. via the generic feedback (and exam script viewing) on the final exam.

#### Coursework

The coursework is a take-home test. Starting from week 5 you will find the questions in the following PDF document.

2019 Coursework paper

You are encouraged to have a look at Manfred Lehn's valuable advice on how to work on problem assignments.

The solutions have to be handed in at the Reception of the Teaching and Learning Office before 13:00 on Friday 22 March. The weighting of the coursework will be 20% of the final mark.

#### Examination

The format of the exam paper will be the same as in the last year, but different from previous years. There will be one section with six mandatory questions.

Solving the homework exercises is meant as an effective preparation for the exam. You might also have a look at the past papers below.

Past papers + feedback: 2016/17, 2017/18

Skip ASCII portrait
dddddddddddddddodddx0WMMMMMMMMMMMMMMMMMMXkdoooooooooooooooooooooooooo
dddddddddddddddddxKWMMMMMMWWWWWWWMMMWWWWWWN0xoooooooooooooooooooooooo
dddddddddddddddOXWWMMMWWWNXXXXK0KXXXXXXXNXXWWXOdooooooooooooooooooooo
dddddddddddddkXK00KXXNNXK0OOkkkkkxxkkkkkkO0XXWWWKxooooooooooooooooooo
dddddddddddxKOxxxddxdddddddxollo:lc::codkOOOO0XWWWXkooooooooooooooooo
ddddddddddk0dolc::;,''.................',;;:ccxKNWWW0oooooooooooooooo
dddddddook0do:;,,'........               .....,d0XNWNkooooooooooooooo
dddddddoxKkxc;,'.....                        ..;oOKNN0ooooooooooooooo
ddddddddOKOk:;,'.....                         .';okKK0doooolllooolloo
dddddddd000kl;,'.....                        ..';cdkOOollllllllllllll
dddddddx0KX0d:,''....                        ..':cldxxdllllllllllllll
xxxxxxxxKKXKdc,'.....                        ..,colodxdllllllllllllll
xxxxxxxx0XN0oc,'....                         ...cdoddxdllllllllllllll
xxxxxxxxOXNkdc,''.....              ...'...  ....:dolxdllllllllllllll
kkkkkkkkk0XOdodxddddol;,...    ..,cdkOOxoll:,'....lc:;..,llllllllllll
kkkkkkkkdx0kxkddx0KXKX00xl'.  .';cod:dKOkol;''....cc'. ..;lllllllllll
kkkkOOOoxdkkolcdOoldxc;loo:.   ....'.';,..''..  ..';.   ..cllllllllll
OOOOOOOlocoxl;;;;;'.....':;.       ....          .........:llllllllll
OOOOOOOocclxl;..........':;.                     ...  ....cllllllllll
OOO0000Oolddo;'...  ....'::.                     ...    .ccclllllllll
000000000oclo:,....    .,c;..   ..              ....  .,ccclllcclllll
0000000KK0xool;'...   ..:;;.   .               ....,:ccllcclllcclllll
00000KKKKKKKKOl;,......,cloc...';,.          ......cllllllllcccllllll
00000KKKKKKKKKxc:,.....':oddo:,...             ...'clccllllccllllclll
0000KKKKKKKKKK0oc;,....',;;;'...               ...:lllccllcclllclllll
00000KKKKKKKKKKOo:;''.',;;,,'............     ...,llclccllcccllllllll
00000KKKKKKKKKKKOo:;''',cddoo:,,,''..        ....,lllllcllllcllllclll
000000KKKKKKKKKKK0xc;'..';:::;,,'...        .....'lcclllllllllcllllll
000000KKKKKKKKKKKKKkoc'..',,'......        .......cllcclcllllclllllll
00000KKKKKKKKKKKKKK0ddl,.......          ....   ..:llllllllllllllllll
00000KKKKKKKKKKKKKK0xooo:'.....        .....     ..;cclllllllllllllll
0000KKKKKKKKKKKKKKK0kolodo:,''...........         ...;dkddollllllllll
000KKKKKKKKKKKKKXNWXxlccloollc:::;,...                 ;kk0OOkxddolll
000KKKKKKKXXNNNNN0xlolc::loc:;,....                    ;kk0O000OOOOkk
00KKKKKKXXXXNNNNKl::ll:;,;cl:;,'...                   .dOO0O000OOOOOO
00KK0KKKKXKXXNXXXl;;cc:;,,,:c;,,,....                 ;O0OOOOOOOOO0OO
KKKKKK0KKKKKXXXXNK:;c:;;;,'';;,'.....                .x000O00OO00000O
0000000K00KKKKXXXNXo:;,,,,'..,,'.....               .dO0OkO00OOkOOO0O
0K0000O0000KXKKXKKNNO:,'',,'..........             .d00OOO0OOOOOOOOOO
00000000KKK0KK0KKKKXNNk:.';;'.........      .    .:k0OOO000OOOkk0OOkO
00OO0000OOKO0KKKKK0KXXNN0occ:'..........   .. .'ckK00O0O0000O0OOOO0O0
000000O0000O0KKKKKKKKXXXXNNXKOoc;,''''...';cokKKKKKK00KKK0000000kOO0O
OOOO0O00000000K0KKKKKKKKXXXXXXXXXXXXXXKXXXKKXXXKKKK0KKK0OOO0OOkOOkOOO
0OO0O0O000O00K0KKKKKKKKKKK0KKKKKKKKKXKKKKKKKKKK0000OO00O0O0OO00O0O00K
K0000OO0K00000000K00000K00KK00K0KKK0KK000KOK0OO00000000OO0OO0OOO0O000


School of Mathematics
The University of Manchester
Alan Turing Building
Manchester M13 9PL

1.106a

#### Erreichbar unter:

Telefon: +44 161 275 5818
Email:
hendrik.suess@manchester.ac.uk
PGP/GPG: public key

Mon 10:30-11:30