Discover Topology Interest - Helpful Sites & Resources

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Topology is a mathematical concept that has intrigued many, particularly following discussions in popular science publications like Scientific American. Participants in the discussion seek recommendations for useful topology resources and websites. Mathworld is mentioned as a helpful site for understanding topology. Additionally, several undergraduate textbooks are recommended, including "Topology" by Munkres, which is noted for being accessible, along with more advanced texts by Dugundji and Willard. The conversation highlights the complexity and counter-intuitive nature of topology, sparking interest in further exploration of the subject.
europium
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Hi, I am not sure if this would be the right place to post this but i know that it is a mathematical concept.

I have read a bit about topology in the latest scientific american, and it really intrigued me. I am fascinated by this idea.

Therefore i ask if you would kindly point me in the direction of any useful topology sites... ie, any you have come across.

Thanks a lot K_ :biggrin:
 
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I had trouble with topology last term because it's so ridiculously counter-intuitive. (I do better with stuff that makes sense) Anyway here's some stuff from good ol Mathworld:
http://mathworld.wolfram.com/Topology.html
 
europium said:
Hi, I am not sure if this would be the right place to post this but i know that it is a mathematical concept.

I have read a bit about topology in the latest scientific american, and it really intrigued me. I am fascinated by this idea.

Therefore i ask if you would kindly point me in the direction of any useful topology sites... ie, any you have come across.

Thanks a lot K_ :biggrin:
Was it the article on the Poincaré conjecture? That was really facinating. Can anyone reccomend a good undergradate text in toplogy?
 
Wich topology u are asking about?
there are an infinity kind of topology
 
the standard intro to point-set & algbraic topology is of course Topology by Munkres. I also like the ones by Dugundji & Willard, but those ones are a bit more advanced than the Munkres one.
 
yeah the one about Poincare. It was great
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.

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