DocBill Posted March 18, 2003 Posted March 18, 2003 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
Dudde Posted March 18, 2003 Posted March 18, 2003 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?
DocBill Posted March 18, 2003 Author Posted March 18, 2003 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
Dudde Posted March 18, 2003 Posted March 18, 2003 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;)
Radical Edward Posted March 18, 2003 Posted March 18, 2003 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....)
DocBill Posted March 18, 2003 Author Posted March 18, 2003 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
JaKiri Posted March 21, 2003 Posted March 21, 2003 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.
EvilMind Posted March 23, 2003 Posted March 23, 2003 topology and algebraic topology become very useful when dealing with harmonic mappings and string theory. id like a coffee no sugar and a chocolate torus please!
Guest taoist Posted May 23, 2003 Posted May 23, 2003 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
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