MATH428-12S2 (C)
Topology
This is a semester two course.
Course Information
Topology, colloquially known as ‘rubber-sheet geometry’, is the study of continuity in an abstract setting. Topological notions underpin, or are used in, many areas of mathematics, ranging from analysis to algebraic geometry and even set-theory. Accordingly, the fundamentals of point-set topology are an essential part of the training and armoury of the modern research mathematician. In this course, we introduce topological spaces and study continuity, limits, and may other important notions, in that setting. We then take first steps into uniform spaces, the general setting for notions like uniform continuity and uniform convergence.
The topics will be drawn from the following: Topological spaces, continuous functions; filters and convergence; compact and connected spaces; separation properties; the Stone-Čech compactification; uniform spaces.
Enquiries
Prof. Douglas Bridges
Room 704 Erskine Building
Phone Extension 8878
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