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What is a Betti number?
A Betti number is a number associated to each topological space and dimension, giving an approximate number of holes of that dimension in that space.
What is relationship between vector space and vector subspace?
Vector spaces can be formed of vector subspaces.
What is topological space?
The wikipedia article says, 'The definition of a topological space relies only uponset theory and is the most general notion of a mathematical "space" that allows for the definition of concepts such as continuity, connectedness, and convergence.'These are abstract spaces where distance is, in some sense, ignored. When Euler considered the 'seven bridges of Koenigsberg problem', for instance, he appreciated that he was ignoring the distances between the bridges and was considering only how they were connected--so that someone could traverse each of them just once. Since that time, of course, the idea of a topological space has permeated many areas of mathematics.See the related link.
What is space in geometry?
The space within an object is its volume.
What is the area of any shape?
It is a measure of 2-dimension space that is contained within the boundaries of the shape.It is a measure of 2-dimension space that is contained within the boundaries of the shape.It is a measure of 2-dimension space that is contained within the boundaries of the shape.It is a measure of 2-dimension space that is contained within the boundaries of the shape.
