What are the applications of topology?

with topology you can prove that a donut and a tea cup (with only one handle) are somewhat 'equivalent'

like a ball and a box

Topology isn't as focused on applications as are areas like calculus and differential equations. But it helps provide theoretical underpinnings for a lot of areas of real and complex analysis.

You should look at

http://en.wikipedia.org/wiki/Topology

for more information on topology. "Topological spaces show up naturally in almost every branch of mathematics. This has made topology one of the great unifying ideas of mathematics."

i do no longer think of you will get a miles better answer than OPM. different than i could disagree, maximum economists could comprehend what topology is. seek for topology interior the hot Palgrave Dictionary of Economics at your uni library and it may provide you some very stable education.

None that I am aware of. Topologists are the poets of the math world.

i would say limits and shapes , theoretical .-

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