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Algebraic Topology
MATH 6314
School of Natural Sciences and Mathematics
This course covers basics in algebraic topology. Topics will include simplicial and singular homology groups, cellular homology groups, exact sequences and excision, chain maps, Mayer-Vietoris sequences, homology with coefficients, Eilenberg-Steenrod axioms; cohomology theory, the universal coefficient theorem, cup products, Kunneth formulas, and Poincare duality. 3 credit hours.
Prerequisites: Abstract Algebra I and Topology or equivalent is required or instructor consent required.
Offering Frequency: Every two years
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Algebraic Topology
MATH 6314
School of Natural Sciences and Mathematics
This course covers basics in algebraic topology. Topics will include simplicial and singular homology groups, cellular homology groups, exact sequences and excision, chain maps, Mayer-Vietoris sequences, homology with coefficients, Eilenberg-Steenrod axioms; cohomology theory, the universal coefficient theorem, cup products, Kunneth formulas, and Poincare duality. 3 credit hours.
Prerequisites: Abstract Algebra I and Topology or equivalent is required or instructor consent required.
Offering Frequency: Every two years
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