Topic:Topology
From Wikiversity
Topology is the natural evolution of analysis to a more general level. Whereas analysis was concerned with the implications of continuity on the familiar spaces of Rn and Cn, topology seeks to explore all the types of mathematical structures where analytical concepts can be applied in some form. From the loose structure of point-set topology to the requirement that objects admit some type of smooth structure in differential topology, this division studies the implications of applying analysis to all the types of objects where it makes sense to define some sort of analytical structure. Note that while topology originally evolved from the study of partial differential equations by Poincaré, the modern student need only bring a knowledge of limits and continuity from a good calculus course with them, as well as a basic understanding of what a group is.
[edit] Sub-departments
- Topic:Introduction to Topology
- Topic:Algebraic topology
- Topic:Differential topology
- Topic:Knot Theory
- Topic:Geometric topology
[edit] Resources
[edit] Subdivision news
- Wednesday, August 22, 2006 - Subdivision founded!
