Adverb
from the point of view of topology
Source: WordNetA C*-algebra is a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties: * A is a topologically closed set in the norm topology of operators. Source: Internet
Algebraic topology is the study of topologically invariant abstract algebra constructions on topological spaces. Source: Internet
A topological space is Hausdorff if and only if it is both preregular (i.e. topologically distinguishable points are separated by neighbourhoods) and Kolmogorov (i.e. distinct points are topologically distinguishable). Source: Internet
Because of this, they are not necessarily topologically equivalent to the sphere as Platonic solids are, and in particular the Euler relation : does not always hold. Source: Internet
Conversely, the Lindenstrauss–Tzafriri theorem asserts that if every closed subspace of a Banach space is complemented, then the Banach space is isomorphic (topologically) to a Hilbert space. Source: Internet
Every polygon is topologically self-dual (it has the same number of vertices as edges, and these are switched by duality), but will not in general be geometrically self-dual (up to rigid motion, for instance). Source: Internet