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tongos
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Can someone please explain to me what topology is?
thanks
thanks
we have something like this, and it's called "sufgania" (this is how you pronounce it in hebrew), but it's too much fattening, beware!matt grime said:what if it were an english doughnut? (no hole, jam in the middle, only calling it english to differentiate it from more familiar to some items).
No, then we are topologically equivalent to a DOUBLE torus.Sirus said:Similarly, a human is topologically equivalent to a torus when he plugs his nose.
arildno said:No, then we are topologically equivalent to a DOUBLE torus.
(You've forgotten the big chute connecting your (open) mouth and ass)
dextercioby said:That reminds me of a picture and a small discussion in "A Brief History of Time" by Hawking.He gave a reasonable explanation why a dog could not exist in 2 dimensions :tongue2: .I believe it could be said for every living organism with a digestive tractum.
Daniel.
arildno said:No, then we are topologically equivalent to a DOUBLE torus.
(You've forgotten the big chute connecting your (open) mouth and ass)
Sirus said:I don't understand. A torus has one hole in it. If you plug your nose, the only hole in your body is this very 'chute' you speak of. To be a double torus, there would have to be two holes. What is the other hole?
fourier jr said:your arm is a handle isn't it? it would be attached to your shoulder at 1 end, & your nose at the other end, and that makes a handle. so there's one hole between your arm & body, and that other hole
Topology is a branch of mathematics that studies the properties of geometric shapes and their spatial relationships. It focuses on the study of continuous transformations and deformations of objects without considering their specific measurements or dimensions.
There are several types of topology, including point-set topology, algebraic topology, differential topology, and geometric topology. Each type studies different aspects of topological spaces and their characteristics.
A topological space is a set of points with a defined set of rules for determining which collections of points are considered "near" each other. These rules are known as open sets and they allow for the study of continuity, convergence, and other properties of space without relying on measurements or distances.
Topology has many practical applications in fields such as physics, biology, computer science, and engineering. It is used to study the shape of DNA molecules, the behavior of electrical circuits, the structure of proteins, and the design of computer networks, among many others.
Topology plays a crucial role in mathematics as it provides a way to classify and study objects without relying on their specific properties. It also helps to bridge the gap between different fields of mathematics by providing a common language and framework for understanding complex structures and spaces.