The Fredholm operators on Hilbert space \ mathcal H, is a classifying space for ordinary, untwisted K-theory.
12.
When H is the trivial class, twisted K-theory is just untwisted K-theory, which is a ring.
13.
When voltage is applied across the electrodes, the liquid crystal structure is untwisted to an extent determined by the amount of voltage.
14.
The dried, finished fibres are at this stage in a form called tow, a large untwisted bundle of continuous lengths of filament.
15.
Especially, " Weekly Blitz " only publishes unmolested and untwisted information on Israel, the Jewish world as well as the West.
16.
It turns out that there are exactly two such colourings on " K " 16, the so-called untwisted and twisted colourings.
17.
Both colourings are shown in the figures to the right, with the untwisted colouring on the top, and the twisted colouring on the bottom.
18.
It is only when we attach a "'spinor "'to the cup that we can distinguish between the twisted and untwisted case.
19.
As another example, the M�bius strip and an untwisted strip are homotopy equivalent ( since you can deform both strips continuously to a circle ) but not homeomorphic.
20.
In particular, this group always contains the identity element, and the corresponding affine Lie algebra is called an "'untwisted "'affine Lie algebra.
