McMaster University Menu Search
Faculty of Science Mathematics & Statistics
Faculty of Science

Mathematics & Statistics

MATH 3T03, Winter 2019

INQUIRY IN TOPOLOGY

Topology is the field of mathematics concerned with studying a formalization of the notion of shape. In topology, we are  interested in properties of spaces which remain unchanged under continuous deformation by way of stretching and bending. Hence  the joke about a topologist being someone who cannot tell the difference between a coffee cup and a doughnut. In this course, we will define the simple and abstract axioms of topology and basic definitions associated to them (such as continuity of maps, connectedness and compactness). We will also see how topology can provide beautiful insight into practically all other branches of mathematics including analysis, algebra, graph theory, functional analysis.  This course will also expose the students to both mathematical rigor and abstraction, giving them an opportunity to further develop their mathematical knowledge.  Topics include topological spaces, metric spaces, continuity, homeomorphisms, connectivity, compactness, and separation axioms.

INSTRUCTOR:  H. Boden

Course Website

Calendar Description
3 unit(s) 
Size and shape in topology and analysis, compactness, connectedness, limit sets, theory of dimension, fractals and self-similarity.
Three lectures; one term
Prerequisite(s): MATH 2X03 (or ISCI 2A18 A/B)

 
PLEASE REFER TO MOSAIC FOR THE MOST UP-TO-DATE INFORMATION ON TIMES AND ROOMS

 

 

McMaster Academic Planner (MAP)

Launch the MAP

The MCMASTER ACADEMIC PLANNER (M.A.P.) is a multipurpose tool used to educate prospective and current Science students on the admission requirements, course/program options, research, experiential education & co-op opportunities available in the Faculty of Science .

Image of the M.A.P. (McMaster Academic Planner) website which includes a giant orb with the text 'Your Jounrey Starts Here' written in the center

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca