MA3F1 Introduction To Topology Notes | Assignment Help | Syllabus
Country: United Kingdom
University: The University Of Warwick
The study of characteristics of invariant spaces under continuous deformation is known as topology. As a result, it’s frequently referred to as “rubber-sheet geometry.” The following topics are covered in this module: topological spaces and basic examples; compactness; connectedness and path-connectedness; identification topology; Cartesian products; homotopy and the fundamental group; winding numbers and applications; and a brief overview of surface classification.
The basic concepts and difficulties of topology will be introduced and illustrated.
To demonstrate how basic topological invariants may be used to differentiate spaces (compactness, connectedness and the fundamental group). To demonstrate how to build spaces by gluing and to show that the result is homeomorphic to a standard space in some instances; to construct basic examples of spaces with certain characteristics (e.g. compact but not connected or connected but not path connected).
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