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Are all Hilbert Spaces Locally Compact?
No. Every infinite dimensional topological vector space is not locally compact. See the Wikipedia article on locally compact spaces.
Is a point is a zero dimensional?
In mathematics, a zero-dimensional topological space is a topological space that ... any point in the space is contained in exactly one open set of this refinement.
What notation is used to symbolize a topological space?
A topological space is simply a set, B, with topology t (see the related link for a definition), and is often denoted as B, t which is similar to how a metric space is often denoted; B, D.
Is Z with the discrete topology a compact topological space?
A discrete topology on the integers, Z, is defined by letting every subset of Z be open If that is true then Z is a discrete topological space and it is equipped with a discrete topology. Now is it compact? We know that a discrete space is compact if and only if it is finite. Clearly Z is not finite, so the answer is no. If you picked a finite field such a Z7 ( integers mod 7) then the answer would be yes.
What is an under vector room?
There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.
What is relationship between vector space and vector subspace?
Vector spaces can be formed of vector subspaces.
Direction of vector in space is specified by?
It is an integral part of the vector and so is specified by the vector.
What is an affine space?
An affine space is a vector space with no origin.
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 need of space vector pulse width modulation?
due to space vector modulation we can eliminate the lower order harmonics
Is it proven that algenraic functions turn dyslexic topological polynomials on their head in Non-Non-Euclidean Riemannian after-space?
no
What is material uniformity?
A family of subsets of the direct product of a topological space with itself that is used to derive a uniform topology for the space. Also known as uniform structure.
