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Thisgeometricallyflavoredintroductiontoalgebraictopologyhasthedualgoalsofservingasatextbookforastandardgraduate-levelcourseandasabackgroundreferenceformanyadditionaltopicsthatdonotusuallyfitintosuchacourse.Thebroadcoverageincludesboththehomologicalandhomotopicalsidesofthesubject.Carehasbeentakentopresentareadable,self-containedexposition,withmanyexamplesandexercises,aimedatthestudentortheresearcherfromanotherareaofmathematicsseeingthesubjectforthefirsttime.Thefourmainchapterspresentthebasiccorematerialofalgebraictopology:fundamentalgroups,homology,cohomology,andhigherhomotopygroups.Eachchapterconcludeswithagenerousselectionofoptionaltopics,accountingfornearlyhalfthebookaltogether.