The space of all these spaces is called Fock space. Because the number of mathematical functions is  infinite, it has an infinite number of dimensions, and as a result, it is unlike Euclidean, Einsteinian, or  Riemmannian space in that it has no relation to geometric reality.
The space of all these spaces is called Fock space. Because the number of mathematical functions is  infinite, it has an infinite number of dimensions, and as a result, it is unlike Euclidean, Einsteinian, or  Riemmannian space in that it has no relation to geometric reality. In spite of this, it is an important  practical tool for quantum physics, since it is the simplest way of representing the changing states of an  electron. FTP, identify this type of space where functions take the place of vectors, whose namesake is  also famous for a list of twenty-three unsolved mathematical problems.
The space of all these spaces is called Fock space. Because the number of mathematical functions is  infinite, it has an infinite number of dimensions, and as a result, it is unlike Euclidean, Einsteinian, or  Riemmannian space in that it has no relation to geometric reality.
Hilbert Space