We give a simplified approach to the cubulation of small-cancellation quotients free products cubulated groups. construct fundamental groups compact nonpositively curved cube complexes that do not virtually split.

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However, anomaly cancellation condition of the Standard Model looks unnatural from the perspective of a theory with extra dimensions. Indeed, if our world were embedded int...

although the corrupted condition is not protected by sanctions, there are three beliefs as to whether its corruption (fasād) permeates the contract (‘aqd) or not: theory of fasād, theory of non-permeation of fasād, theory of detailed specification (tafṣīl). the proponents of the latter theory claim the total exclusion of the condition that causes disturbance in the basic components of the contr...