They are also, from the viewpoint of homotopy theory, models for the homotopy theory of homotopy theories.

You are our Father as well as theirs. Permit us, for a short space, to meet in brotherhood, that we may have an added knowledge of that eternal life which awaits us, and so be helped during our years of waiting in this lower world. He ended with the Our Father, in which we all joined.

Investors face a quandary. Cash offers a return of virtually zero in many developed countries; government-bond yields may have risen in recent weeks but they are still unattractive. Equities have suffered two big bear markets since 2000 and are wobbling again. It is hardly surprising that pension funds, insurers and endowments are searching for new sources of return.

A powerful visitors’ bureau has pushed the South Carolina city to the top of “best” lists by selling gentility. Critics say that has come at the expense of history and the city’s Black population.