«The Betti numbers of an object describe its features, such as the number of its components or the number of its holes and cavities. An object has one more Betti number than it has dimensions. One-dimensional objects such as the circle have two Betti numbers, two-dimensional objects, such as the surfaces of balls, pretzels and bagels, have three Betti numbers. (Recall that solid spheres and bagels are three-dimensional objects. The surface of spheres and bagels, i.e., their skins, are two-dimensional.) Intuitively, the k-th Betti number counts the object's k-dimensional connectivity or holes.»
Faz-me feliz ser capaz de ensaiar a tradução de uma passagem como esta sem atirar com o computador contra a parede; sobretudo da última frase.
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