李 昇 郁

Basic Topology, Undergraduate Texts in Mathematics, M. A. Armstrong, Springer, 2010.

Continuity, Compactness, Connectedness, Identification Spaces, The Fundamental Group, Triangulations, Surfaces, Simplicial Homology, Degree and Lefschetz Number, Knots and Covering Spaces

Monday/Wednesday 3:30-4:45pm in SH 303

Monday/Wednesday 2:00-3:30pm and by appointment

There are no exams. The average of grades you earned from homework assignments will be the main part of your final grade for the course.

Lecture notes are available as blog entries. Click on the links to view the notes.

• Lecture Notes 1: Open Sets and Closed Sets
• Lecture Notes 2: Bases and Subbases
• Lecture Notes 3: Limit Points, Boundary Points, and Sequential Limits

• A Basic Course in Algebraic Topology, Graduate Texts in Mathematics, v. 127, William S. Massey, Springer, 1997. Cook Library has a copy. The call number is QA612 .M374 1991b.
• Algebraic Topology: An Introduction, Graduate Texts in Mathematics, v. 56, William S. Massey, Springer, 1990. Cook Library has a copy. The call number is QA611 .M343.
• Algebraic Topology Book by Allen Hatcher. Free to download.
  
• Basic Concepts of Algebraic Topology, Undergraduate Texts in Mathematics, Fred H. Croom, Springer, 1978. Cook Library has a copy. The call number is QA612 .C75.
• Elements of Algebraic Topology, James R. Munkres, Westview Press, 1995. Cook Library has a copy. The call number is QA612 .M86 1984b.
• Lecture Notes on Elementary Topology and Geometry, Undergraduate Texts in Mathematics, Isidore M. Singer and John A. Thorpe, Springer, 1976. Gulf Coast Library has a copy. The call number is QA611 .S498 1976. In order to get this copy, you need to request it through the library's Document Delivery Service. It is free of charge.
• Topology, James R. Munkres, 2nd Edition, Prentice-Hall, 2000. Gulf Coast Library has a copy. The call number is QA611 .M82. In order to get this copy, you need to request it through the library's Document Delivery Service. It is free of charge.
• Geometry, Topology and Physics, Mikio Nakahara, 2nd Edition, Graduate Student Series in Physics, Taylor & Francis, 2003. The 1st Edition of the book is available online through the University Libraries.
• Topology and physics-a historic essay, C. Nash