Topology Topics 

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What is topology? It is a branch of mathematics that deals with the way geometrical objects are made and connected, but doesn't deal with their dimensions. A topologist would ask a questions such as 'how do they connect?' or 'does it have holes in it and how are they made?' rather than 'how long is their connection' or 'how big are the holes'. Sometimes we have to solve problems which can not 'fit' into two or three dimensions  which are easy for us to study or depict. We would like to be able to draw a tendimensional graph sometimes, to explain various influences between objects and connections between them, but we don't have enough dimensions to do that. It would also be very difficult to try and imagine that because our intuition is used to only three dimensions! We can perhaps sometimes use algebra, but then we loose the visual insight which is one of the most important and useful tool we humans have in understanding relationships. In this case we use topology to consider all the possible relationships and connections so that we can study them. Here are some illustrations of the application of topology:
Some famous mathematicians who contributed to the development of topology are

See some topological topics click on the number man for a worksheet on Möbius strip See topological atlas of cyberspace here for some amazing pictures of the Internet and communication networks.


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