gauge theory vs topology

[AntonioLao]

There is an underlying connection between gauge theory and the study of infinitesimal distances between two points defining all spacetime intervals.

http://mathworld.wolfram.com/GaugeTheory.html

[Guille]

is there also in a way a conection between topology and calculus?


I thought of this because they are both about infinitesimals...right?

[AntonioLao]

is there also in a way a conection between topology and calculus?

differential topology such as Lie algebra and Lie group,which are differentiable manifold where derivatives exist.

see more about differential topology at

http://mathworld.wolfram.com/DifferentialTopology.html