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).
Outline of the deeper theory
- (Co)fibre sequences: Puppe sequence, computations
- Homotopy groups of spheres
- Obstruction theory
- K-theory: KO-theory, algebraic K-theory
- Stable homotopy theory
- Brown's representability theorem
- (Co)bordism
- Signatures
- Brown-Peterson BP and Morava K-theory
- Surgery obstructions
- H-spaces, infinite loop spaces, A∞ rings
- Homotopy theory of affine schemes
- Intersection cohomology
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