MATH 374 Spring 2014 Topology (Q)

Topology is the study of when one geometric object can be continuously deformed and twisted into another object. Determining when two objects are topologically the same is incredibly difficult and is still the subject of a tremendous amount of research, including recent work on the Poincaré Conjecture, one of the million-dollar millennium-prize problems. The first part of the course on point-set topology establishes a framework based on "open sets" for studying continuity and compactness in very general spaces. The second part on homotopy theory develops refined methods for determining when objects are the same. We will prove for example that you cannot twist a basketball into a doughnut.
Class Format: tutorial
Requirements/Evaluation: homework, tutorials,, and exams
Additional Info: may not be taken on a pass/fail basis
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Prerequisites: MATH 350 (formerly 301) or 351 (formerly 305), Not open to students who have taken MATH 323
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Divisional Attributes: Division III,Quantitative and Formal Reasoning
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Enrollment Limit: 10
Expected Enrollment: 10
Class Number: 3661
MATH374-T1(S) TUT Topology (Q) Division 3: Science and MathematicsQuantitative and Formal Reasoning Frank Morgan
TBA 3661
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