Sentence examples for universal cover of from inspiring English sources

(2') The universal cover of X is a polydisk.

The first ingredient is an explicit trivialization of the universal cover of the escaping set.

The universal cover of the Auslander Reiten quiver of Λ looks as follows: Open image in new window.

A classical result of Hano (see [207] Theorem IV, p. 886, and Lemma 6.2, p. 317 of [292]) asserts that a bounded homogeneous domain that is the universal cover of a compact complex manifold is symmetric.

Recently Brodzki, Niblo, Plymen, and Wright determined a closed explicit description of the spectrum of the Dirac operator D for the universal cover of SL2(R) localised at a representations π in the principal series and in the discrete series [4].

Then we have a tower of covering spaces begin{aligned} ({mathcal {D}}times EG) rightarrow ( Z times EG) rightarrow ( Z times EG)/ G, end{aligned}where ({mathcal {D}}times EG) is simply connected, and is the universal cover of ( Y : = ( Z times EG)/ G), such that (pi _1 (Y) cong pi _1^{orb} ( Z, G)).

Hence, by the same principles, the universal cover U of (mathrm {H}(W^s)) comes with a product operation and there is a central action of (pi _1(mathrm {H} (W^s))) on U.

Let Z be a 'good' topological space, i.e., arcwise connected and semi-locally 1-connected, so that there exists the universal cover ({mathcal {D}}) of Z. Then we have ( Z = {mathcal {D}}/ pi ) where (pi : = pi _1 (Z)); denote (p : {mathcal {D}}rightarrow Z) the quotient projection.

In order to explain this, assume that ({r_j | j in J}) is a system of free generators of R. Now, (BG^3) is obtained attaching 3-cells in order to kill the second homotopy group of (BG^2) which, in turn, by Hurewicz' theorem, is the second homology group of its universal cover (tilde{BG^2}).

The international experience of moving towards universal cover in high-income countries and middle-income countries in Asia and Latin America does not provide any insights into how this can be achieved within the context of a large burden of HIV/AIDS.

Hence, π2(S1) = 0. This is because S1 has the real line as its universal cover which is contractible (it has the homotopy type of a point).