MAT 530 or its contents (basic
topology, fundamental
group
and covering spaces)
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Textbook:
Homology of Cell Complexes
Notes on the course of Norman Steenrod by George E. Cooke and
Ross L. Finney
Princeton University Press; 1st edition (1967)
We like this treatment because it straddles the zone between geometry
and algebra and provides a solid basis for understanding algebraic
topology.
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The sequence of
concepts goes
as
follows:
- An elegant and clear definition
of cell
complex
- The distinction between regular cell
complexes and
general
cell complexes (the CW complexes of J.H.C. Whitehead)
- Homology groups of regular cell complexes
- The invariance theorem depending on the
functorial
aspects
of regular cell complex homology
- Singular homology (in the more geometric
variant of
Steenrod)
- Introductory homotopy theory
- Skeletal homology for general cell
complexes.
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email
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Office
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|
Moira Chas
|
moira at math.sunysb.edu
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3-119 Math Tower
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TBA
|
Dennis Sullivan
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dennis at math.sunysb.edu
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5th Math Tower
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