ALGEBRAIC TOPOLOGY 1
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The topic of this course is the fundamental group and covering spaces.
Here are recommended books (the order is random):
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Massey: Basic course in algebraic topology (or Algebraic topology, an introduction)
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Munkres: Topology 2nd edition (The first edition does not include our material)
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Bredon: Topology and geometry
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Hatcher: Algebraic topology (appears at www.math.cornell.edu/~hatcher)
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Singer and Thorpe: Lecture notes on elementary topology and geometry
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Lawson: Topology, a geometric approach
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Our procedure for defining homotopies on quotient spaces is justified by Theorem 20.1 of Munkres - Elements of Algebraic Topology. Take C to be the unit interval I, which is indeed locally compact and Hausdorff. 
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HOMEWORK:<br>

We will discuss the homework in the second half of class on the following dates: 11.11.20, 25.11.20, 9.12.20, 23.12.20, 6.1.21, 20.1.21.
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<A HREF="AT1/at1hw1.pdf">HW1</A> (to be done by 28.10.20)<br>
<A HREF="AT1/at1hw2.pdf">HW2</A> (to be done by 4.11.20)<br>
<A HREF="AT1/at1hw3.pdf">HW3</A> (to be done by 11.11.20)<br>
<A HREF="AT1/at1hw4.pdf">HW4</A> (to be done by 18.11.20)<br>
<A HREF="AT1/at1hw5.pdf">HW5</A> (to be done by 25.11.20)<br>
<A HREF="AT1/at1hw6.pdf">HW6</A> (to be done by 2.12.20)<br>
<A HREF="AT1/at1hw7.pdf">HW7</A> (to be done by 9.12.20)<br>
<A HREF="AT1/at1hw8.pdf">HW8</A> (to be done by 16.12.20)<br>
<A HREF="AT1/at1hw9.pdf">HW9</A> (to be done by 23.12.20)<br>
<A HREF="AT1/at1hw10.pdf">HW10</A> (to be done by 30.12.20)<br>
<A HREF="AT1/at1hw11.pdf">HW11</A> (to be done by 6.1.21)<br>
<A HREF="AT1/at1hw12.pdf">HW12</A> (to be done by 13.1.21)<br>
<A HREF="AT1/at1hw13.pdf">HW13</A> (to be done by 20.1.21)<br>
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