MATH 4411 Introduction to Algebraic Topology with Applications

MATH 4411 Introduction to Algebraic Topology with Applications
Introduction to Algebraic Topology with Applications
An introduction to algebraic topology with perspectives on applications to sensor networks, target detection and learning theory.  Elementary algebraic topology:  fundamental group, simplicial complexes, homology, long exact sequences, excision, Lefschetz fixed point theorem, persistent homology.  Applications to coverage in sensor networks, deSilva-Ghrist criterium, target enumeration. 
credit hours: 3