Topology

Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with the study of topological spaces. When the discipline was first introduced it was called analysis situs (Latin analysis of place).

Some useful notions from algebraic topology

See also list of algebraic topology topics.

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• Homology and cohomology: Betti numbers, Euler characteristic.
• Nice applications: Brouwer Fixed Point Theorem, Borsuk-Ulam Theorem, Ham sandwich theorem.
• Homotopy groups (including the fundamental group).
• Chern classes, Stiefel Whitney classes, Pontrjagin classes.