Homework & exercises
Send me an email at szilard at renyi dot hu if you find a typo or any other error.Info for the Final
Summary of what we covered this semesterSet 8.
Homework. To be handed in Wednesday, May 16th.
Download as pdf
EXERCISES:
for practice!
Set 7.
Homework. To be handed in Thursday, May 10th.
Download as pdf
EXERCISES: for practice!
- Summarizing what we are covering now:
Deformation retracts, homotopy equivalence
Set 6.
The first part of Homework 6. consists of some reading in group
theory:
- A summary on group presentations by John Stillwell
- But also a summary presentations of groups from Wikipedia
- I especially suggest looking at Common examples of groups given by generators and relations
- and Here is a description of F_2, the free group on two generators.
- The second part of Homework 6 is
to be handed in Thursday, May 3rd.
Here is also a summary for what we covered so far:
homotopy of paths (uses different notation, unfortunately)
The fundamental group is an algebraic group indeed
fundamental group, dependence on the basepoint
Induced homomorphism
MIDTERM INFO
The midterm will be on March 29th, Thursday, during class time.
Here is a
summary+practice problems. We will also go through
the last practice set.
For the point-set topology part
we were loosely following
Chapters 1 and 2 of
Thomas Ward's Notes.
Here is a summary on the Euler characteristic
for surfaces
For our next topic - the classification of compact, connected
surfaces - we will look at the proof from William Massey's "Algebraic
Topology: An Introduction".
Set 5.
Homework. To be handed in Thursday, March 22nd.
Download as pdf
EXERCISES: for practice!
Set 4.
Homework. To be handed in Thursday, March 8st.
Download as pdf
EXERCISES: for practice! ask questions about/volunteer
to present, next week
HEINE-BOREL THEOREM,
"closed and bounded implies compact"
Set 3.
Homework. To be handed in Thursday, March 1st.
Download as pdf
EXERCISES: for practice! ask questions about/volunteer
to present, next week
SUMMARY:
Subspace topology, quotient topology,
product topology
Set 2.
Homework. To be handed in Thursday, Feb 23th. Download as pdf
Set 1.
Homework. To be handed in Thursday, Feb 16th.
Download as pdf
Summary of week 1 and exercises
Exercises related to a metric (and de Morgan
Laws)
Administrative issues:
The class will meet We 8:30--10.00 and Thu 10:15-11:45 in room
105 (at least the first three weeks).
Homework will be collected on Thursdays.
Collaboration is allowed - moreover, encouraged, for studying and problem
solving -, but everyone has to write up the solutions to
the homework problems themselves.
There will be one Midterm (date to be
determined later) and a Final.
The grade will depend on the homework (scaled to 100pts total), the
Midterm (100pts) and Final (100pts).
The Final will be comprehensive.
