Further Developments
- Künneth theorem
- De Rham cohomology
- Obstruction theory
- Characteristic class
- Chern class
- Chern–Simons form
- Pontryagin class
- Pontryagin number
- Stiefel–Whitney class
- Poincaré conjecture
- Cohomology operation
- Steenrod algebra
- Bott periodicity theorem
- K-theory
- Topological K-theory
- Adams operation
- Algebraic K-theory
- Whitehead torsion
- Twisted K-theory
- Cobordism
- Thom space
- Suspension functor
- Stable homotopy theory
- Spectrum (homotopy theory)
- Morava K-theory
- Hodge conjecture
- Weil conjectures
- Directed algebraic topology
Read more about this topic: List Of Algebraic Topology Topics
Famous quotes containing the word developments:
“I dont wanna live in a city where the only cultural advantage is that you can make a right turn on a red light.
Freedom from labor itself is not new; it once belonged among the most firmly established privileges of the few. In this instance, it seems as though scientific progress and technical developments had been only taken advantage of to achieve something about which all former ages dreamed but which none had been able to realize.”
—Hannah Arendt (19061975)
“The developments in the North were those loosely embraced in the term modernization and included urbanization, industrialization, and mechanization. While those changes went forward apace, the antebellum South changed comparatively little, clinging to its rural, agricultural, labor-intensive economy and its traditional folk culture.”
—C. Vann Woodward (b. 1908)