Jump to content

Topology anyone?


Recommended Posts

I have a friend who started out many years ago studying mathmatics, game theory and topology. It has always interested me, however as a Dyslexic I have some obvious issues to work around. Is anyone here a fan of Topology?

 

Bill

Link to comment
Share on other sites

hmm..I'm obviously out of the loop....the word topology brings to mind the physical setup of a computer network;)..

 

I've been reading CISCO for faaaar too long:p

 

anyone like to educate me on this definition of the word?;)

Link to comment
Share on other sites

Topologists are mathematicians who study qualitative questions about geometrical structures. We do not ask: how big is it? but rather: does it have any holes in it? is it all connected together, or can it be separated into parts?

 

Bill

Link to comment
Share on other sites

ooo....I know nothing about it but it sounds a lot more fun than the boring math they're trying to push off on me at school:D

 

I'll have to stick around and see if anyone else knows anything;)

Link to comment
Share on other sites

is that literally all it is? a qualitative study? or is there some sort of mathematical structure to it too? It`s always been something that has interested me, after hearing things about how a mug is topologically the same as a donut and things like that, as well as the obvious mobius strip and klein bottles (which suprisingly I only understood a few months ago....)

Link to comment
Share on other sites

Well, from what John has told me, all uniform patterns fall into mathmatical constructs, for example the bridges in a town as seen from a satelite photo, the placement of roads, the interactions of people in a crowded room. This all breaks down into "known laws" (funny--I did not know them). His "forte" so to speak is Bargaining theories, but when he was at MIT he got caught up in patterns, etc. Geometry, taken to a 4-d ideology seems to be the basis.

 

Bill

Link to comment
Share on other sites

The only formal topology I've done was part of my Mathematics Decision 1 module, which was more suitable for a Computing course as it was to do with computer algorithms as much as anything else.

 

If all goes to plan, I shall however find out more when I degrade and change to mathematics after the summer.

Link to comment
Share on other sites

  • 1 month later...
Guest taoist

A topology ...

Choose a basis ...

  • the null set
  • any set A
  • as many subsets as you like

Close up the basis under ...

  • arbitrary union
  • finite intersection

... on A
Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.