主题目录

  • 课程介绍( Course Introduction)

    University: Massachusetts  Institute  of  Technology

    Instructors: Prof. James Munkres

    Course Number:18.901

    Level:Undergraduate

    Course Description

    This course introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.

  • 教学大纲(Syllabus)

    Prerequisites

    The prerequisite for the course is a first course in Analysis, at the level of Rudin's "Principles of Mathematical Analysis" (18.100B here at MIT.) This background is essential both for the knowledge of the subject matter and for the experience in formulating proofs.

  • 作业(Assignments)