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Week of...
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Notes and Links
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| 1
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Sep 13
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About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases.
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| 2
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Sep 20
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Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions
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Sep 27
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Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions
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Oct 4
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Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions
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Oct 11
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Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
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Oct 18
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Monday - connectedness in  , HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products
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Oct 25
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Monday - Compactness of ![{\displaystyle [0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/738f7d23bb2d9642bab520020873cccbef49768d) , Term Test on Thursday, TT Solutions
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Nov 1
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Monday - compact is closed and bounded, maximal values, HW5, HW5 Solutions, Wednesday was the last date to drop this course, Thursday - compactness of products and in metric spaces, the FIP
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Nov 8
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Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions
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Nov 15
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Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions
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Nov 22
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Monday -  and  , Thursday - Tietze's theorem
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| 12
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Nov 29
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Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness
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| 13
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Dec 6
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Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule
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Dec 13
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See December 2010 Schedule
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Dec 20
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Final exam, Monday December 20, 2PM-5PM, at BR200
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| Register of Good Deeds
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Add your name / see who's in!
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See Hilbert's 13th
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Introduction to Topology
Department of Mathematics, University of Toronto, Fall 2010
Agenda: Understand "continuity" in the most abstract, learn about "the fundamental groups" and maybe touch "surfaces".
Instructor: Dror Bar-Natan, drorbn@math.toronto.edu (Wiki before Email!), Bahen 6178, 416-946-5438. Office hours: by appointment.
Classes: Mondays 2-3 and Thursdays 2-4 in Sydney Smith 1070.
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Teaching Assistant: David Reiss, david.reiss@utoronto.ca, SS 622.
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Text
James Munkres' Topology. Many other texts are also available. (A useful principle to know is that many math texts are available online. Web search for (name of text + name of author + pdf or djvu).
Further Resources
