Archive for December, 2010

IV.7 Differential Topology by C. H. Taubes, Smooth Manifolds, What is Known about Manifolds?, Dimensions 4, 5 and greater and How Geometry Enters the Fray: Pages 403 – 408.

Friday, December 31st, 2010

Differential Topology by C. H. Taubes.

What is known about manifolds?

Dimensions 4, 5 and greater.

How geometry enters the fray.

IV.7 Differential Topology by C. H. Taubes, Smooth Manifolds, What is Known about Manifolds?, Dimensions 1, 2 and 3: Pages 398 – 403.

Monday, December 27th, 2010

Differential Topology by C. H. Taubes.

Smooth manifolds.

What is known about manifolds?

Dimension 1.

Dimension 2.

Dimension 3.

IV.7 Differential Topology by C. H. Taubes, Smooth Manifolds, What is Known about Manifolds?, Dimension 0: Pages 397 – 398.

Thursday, December 23rd, 2010

Differential Topology by C. H. Taubes.

Smooth manifolds.

What is known about manifolds?

Dimension 0.

IV.7 Differential Topology by C. H. Taubes, Smooth Manifolds: Page 396.

Wednesday, December 22nd, 2010

Differential Topology by C. H. Taubes.

Smooth manifolds.

IV.6 Algebraic Topology by Burt Totaro, K-Theory and Generalized Cohomology Theories, Conclusion and Further Reading: Pages 394 – 396.

Sunday, December 19th, 2010

Algebraic Topology by Burt Totaro, K-Theory.

Generalized cohomology theories.

Conclusion.

Further reading.

IV.6 Algebraic Topology by Burt Totaro, Vector Bundles and Characteristic Classes: Pages 392 – 394.

Saturday, December 18th, 2010

Algebraic Topology by Burt Totaro.

Vector bundles and characteristic classes.

IV.6 Algebraic Topology by Burt Totaro, Homology Groups and the Cohomology Ring: Page 391.

Friday, December 17th, 2010

Algebraic Topology by Burt Totaro.

Homology groups and the cohomology ring.

IV.6 Algebraic Topology by Burt Totaro, Homology Groups and the Cohomology Ring: Page 391.

Thursday, December 16th, 2010

Algebraic Topology by Burt Totaro.

Homology groups and the cohomology ring.

IV.6 Algebraic Topology by Burt Totaro, Calculations of the Fundamental Group and the Homotopy Groups and Homology Groups and the Cohomology Ring: Pages 387 – 390.

Wednesday, December 15th, 2010

Algebraic Topology by Burt Totaro.

Calculations of the fundamental group.

The homotopy groups.

Homology groups and the cohomology ring.

IV.6 Algebraic Topology by Burt Totaro, Homotopy Groups: Pages 386 – 387.

Monday, December 13th, 2010

Algebraic Topology by Burt Totaro.

Homotopy groups.