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Given a Euclidean n-space, H_n=n+1.

Euclidean n-space is denoted R^n.

The path of an object through phase space.

An affine variety V is an algebraic variety contained in affine space. For example, {(x,y,z):x^2+y^2-z^2=0} (1) is the cone, and {(x,y,z):x^2+y^2-z^2=0,ax+by+cz=0} (2) is a ...

The geometry of Finsler space.

A space having dimension n>3.

A space-filling function.

The space join of a topological space X and a pair of points S^0, Sigma(X)=X*S^0.

The space of immersions of a manifold in another manifold is homotopically equivalent to the space of bundle injections from the tangent space of the first to the tangent ...

Given a subspace A of a space X and a map from A to a space Y, is it possible to extend that map to a map from X to Y?