Tulane University 2006-2007 Catalog
Course:
MATH 651, 652 Topology I and II (3, 3)
Staff. Prerequisites: MATH 305 and 406. Point set topology. Connectedness, product and quotient spaces, separation properties, metric spaces. Classification of compact connected surfaces. Homotopy. Fundamental group and covering spaces. Singular and simplicial homology. Eilenberg-Steenrod axioms. Computational techniques, including long exact sequences. Mayer-Vietoris sequences, excision, and cellular chain complexes. Introduction to singular cohomology.
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