Sentence examples for classify space from inspiring English sources

Europe has already taken steps to classify space as a critical sector and actions are under way to classify certain space assets as critical infrastructures deserving of increased measures of protection (Schmieer 2015).

Then (pi _2 (S) ne 0), in particular, S is not a projective classifying space.

Is then the conjugate variety ( X^{phi } ) still a classifying space ( K (pi ', 1))?

In this case the classifying space is a real torus begin{aligned} T_r : = {mathbb {R}}^r / {mathbb {Z}}^r.

Then one says that B is a classifying space (K pi, 1)) for the group (pi = pi _1(B )).

Let us concentrate first on the special case where we look at the singular cohomology groups of a classifying space.

If ({mathfrak {M}}_g) were a classifying space the homomorphism (rho ) would determine the homotopy class of (varphi ).

(4) If the space Z is a ( K ( pi, 1)), i.e., a classifying space (Z = B pi ), then determines the topological type of the G-action.

The answer depends of course on our knowledge of the group (Gamma ) and of the classifying space ( B Gamma ), which is determined only up to homotopy equivalence.

(A) Is then the conjugate variety ( X^{phi } ) still a classifying space ( K (pi ', 1))?   (B) Is then (pi _1 ( X^{phi } ) cong pi cong pi _1 (X))?  .

Conversely, the theory of fibre bundles and homotopy theory give a topological incarnation of a group G through its classifying space BG.