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OCR: singularity collapse must eventually ersed the soon realized that if one theorem, SO direction of time in Penrt xpansion, the that the collapse became ld still hold, conditions of his theorem oughly like provided the uiverse les at the Friedmann model on larg rem had shown present time. Penrose' nd in a that any collapsing star 7 argument singularity: the time- rev ce expanding showed that any Friedma ha singu wniverse must have begt Penrose' larity. For technical reas verse be theorem required that thi fact use it to infinite in space. So I ingularity only prove that there should fast enough to if the universe was expar only those avoid collapsing again S im space Friedmann models were Penr theor ughly lars gmmen sDace expal