**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 current work on the Poincare 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.

**tutorial**

*Class Format:***evaluation will be based on homework, classwork, and exams**

*Requirements/Evaluation:*

*Additional Info:*

*Additional Info2:***Mathematics 301, or permission of instructor and Mathematics 305 or 312. Not open to students who have taken Mathematics 323**

*Prerequisites:*

*Enrollment Preference:*

*Department Notes:*

*Material and Lab Fees:*

*Distribution Notes:***Division III,Quantitative and Formal Reasoning**

*Divisional Attributes:*

*Other Attributes:***10**

*Enrollment Limit:***10**

*Expected Enrollment:***3230**

*Class Number:*CLASSES | ATTR | INSTRUCTORS | TIMES | CLASS NUMBER |
---|---|---|---|---|

MATH324-T1(S) TUT Topology (Q) | Cesar E. Silva |
TBA | 3230 |