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blog/book.html

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@@ -37,6 +37,7 @@ <h2>Algebraic Topology I</h2>
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Algebraic Topology (AT) uses tools from Category Theory (CT), Homological Algbera (HA) to study topological objects.
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While the Hatcher's book focuses more on geometric approach to AT, Dr. Charmaine Sia's approach to AT is more abstract, explaining everything by abstraction from CT and HA.
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The approach is wellrounded, covers many aspects of the subject, without her introduction, I would never be able to grasp any idea from AT.
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The course includes Homology, Cohomology, Cup Product, Fundamental Group, van Kampen theorem, Covering Spaces
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For further references, one should benefit from reading MIT OpenCourseWare AT I notes (for exercises), Roman Sauer AT youtube series (for HA approach to AT)
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<br>
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<i>NUS MA5209 by Dr. Charmaine Sia (2024)</i>

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