Will Merry: Catalogue data in Autumn Semester 2017 |
Name | Dr. Will Merry |
Field | Mathematics |
Department | Mathematics |
Relationship | Assistant Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-3001-61L | Algebraic Topology I | 8 credits | 4G | W. Merry | |
Abstract | This is an introductory course in algebraic topology. Topics covered include: the fundamental group, covering spaces, singular homology, cell complexes and cellular homology and the Eilenberg-Steenrod axioms. Along the way we will introduce the basics of homological algebra and category theory. | ||||
Objective | |||||
Lecture notes | I will produce full lecture notes, available on my website at www.merry.io/algebraic-topology | ||||
Literature | "Algebraic Topology" (CUP, 2002) by Hatcher is excellent and covers all the material from both Algebraic Topology I and Algebraic Topology II. You can also download it (legally!) for free from Hatcher's webpage: www.math.cornell.edu/%7ehatcher/AT/ATpage.html Another classic book is Spanier's "Algebraic Topology" (Springer, 1963). This book is very dense and somewhat old-fashioned, but again covers everything you could possibly want to know on the subject. | ||||
Prerequisites / Notice | You should know the basics of point-set topology (topological spaces, and what it means for a topological space to be compact or connected, etc). Some (very elementary) group theory and algebra will also be needed. |