Vandana, Deepmala, Krzysztof Drachal and Vishnu Narayan Mishra
We start from the algebraic point of view on a spacetime. In particular, the base structure is not an event represented by a point on a manifold, but the certain algebra of functions. In fact, both approaches are dual to each other – but the second one allows to use algebraic techniques. Next, due to Clarke embedding theorem, we consider the causal boundary of a Lorentzian spacetime (Geroch–Kronheimer–Penrose construction). Then, having algebraic methods already at our disposal, we classify the possible types of singularities.