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Office hours: Extended office hours:
Monday from 2-4PM . Please feel free to come
to talk to me anytime or make an appointment.
Set Theory homework is due for Wednesday (except holidays)
The assignments are from
Text: "Introduction to set theory" by K. Hrbacek and T. Jech. Published
by Marcel Dekker Inc.
- Due Wednesday January 26:
- from section 2.1: #1.1, and 1.3
- from section 2.2: #2.3, 2.5, 2.7 and 2.8(b).
- Due Wednesday February 2nd:
- From section 2.3: 3.1, 3.4, 3.5, 3.6
- From section 2.4: 4.2, 4.3.
- From section 4.1: 1.1, 1.3, 1.5
- Due Wednesday February 9th:
- From section 4.1: 1.2, 1.4 (a), 1.6, 1.7
- From section 4.3: 3.1, 3.6, 3.7, 3.8
- Due Wednesday February 16th:
- From section 4.1: 1.10, 1.11
- From section 5.1: 1.1(e,f,g,k,n), 1.4.
- Due Wednesday February 23th:
- From section 5.2: 2.1, 2.5, 2.6, 2.7
- From section 3.1: 1.1.
- Due Wednesday March 1:
- From section 2.2: 2.1, 2.2(a)
- From section 2.3: 3.9
- Due Wednesday March 8:
- From section 2.5: 5.5, 5.6, 5.7, 5.8, 5.9, 5.11, 5.13,
5.14
- Due Wednesday March 15:
- From section 4.4: 4.1,4.7, 4.10, 4.13.
- Due Wednesday March 22:
- From section 4.5: 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8.
- Due Wednesday April 5:
The exercises marked as important will be as 20/100, while the others
only 10/100.
- From section 10.1: 1.2,
- From section 10.2: 2.2, 2.5 (this is a very important
exercise!),
In the hint for 2.5 there is a missing condition
in the definition of the set C:
Not only it is closed under multiplication and addition but it is also
closed under subtraction and division by non zero.
- From section 10.3: 3.1, 3.2, 3.3, 3.5, 3.18 (another
important exercise).
There is a typo in Ex 3.18
the definition of the order on sequences in the
book is incorrect, it should be:
{a_n} <= {b_n} iff
there exists p>0 there is a natural number n_0
such that b_n - a_n > p for all n>n_0
- Due Wednesday April 12:
- From section 6.1: 1.1, 1.2, 1.4, 1.7, 1.8.
- From section 6.2: 2.1, 2.2, 2.3, 2.5.
- Due Wednesday April 26:
- From section 6.1: 1.3, 1.5, 1.6.
- From section 6.2: 2.7, 2.8.
- From section 6.3: 3.4, 3.5
- From section 6.5: 5.4, 5.6.
- Due Wednesday May 3:
- From section 6.5: 5.8, 5.9, 5.11 (a,b,c,d),
5.13(a), 5.15.
- From section 7.1: 1.1,1.2.
- From section 8.1: 1.15
-
-
- The first midterm was held on Monday 2/28, instead of
a lecture.
- DATE FOR the second midterm: Monday 4/10, instead of
the lecture.
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