There is no single source for all of the material. As we progress through it, I will mention various texts that cover the topics we touch on. in most cases, the sources abound; I will just give a few examples I have found useful.
I'll probably ask you to do some reading before most lectures, so we're in sync. I'll post the reading assignments here.
The date is that of the lecture, so please do the reading before that.
| Due date | Assignment | Remarks | |
|---|---|---|---|
| 1 | Th Feb 06 |
5.4 of [Rotman] |
|
| 2 | Th Feb 13 |
II.1 to II.7 of [MLM] |
|
| 3 | Th Feb 27 |
Sections 11, 12, 13 of [AHS] and / or Chapter III of [ML] |
This is material on (co)limits, (co)completeness and functor (co)continuity |
| 4 | Th Mar 13 |
V.6 of [ML] |
Discussion on varieties of algebras. Mac Lane also gives references to lengthier sources on this vast topic. Another good source is Chapter 9 of [Bergman] |
| 5 | Th Mar 27 |
3.1-3.4 of [Borceux-1] |
Generalities on adjunctions, up to and including full faithfulness. |
| 6 | Th Apr 03 |
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| 7 | Th Apr 10 |
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| 8 | Th Apr 17 |
1.1-1.4 of [Montgomery] |
Preliminaries on coalgebras and bialgebras |
| 9 | Th Apr 24 |
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| 10 | Mon May 05 |
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On occasion I'll post extra notes, comments, etc. in this space.
If you have any questions, don't hesitate to email me.
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