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Diffeological Spaces: Examples and Relations to Smooth Spaces Diffeology provides a flexible framework for studying smooth structures on spaces that may not fit the rigid definition of a ...
Read Diffeological Spaces: Examples and Relations to Smooth SpacesHandle Decompositions in Smooth Manifolds In the study of topology, decomposing a complex space into simpler pieces is a fundamental strategy. While CW-decompositions provide a way to bui...
Read Handle Decompositions in Smooth ManifoldsThe Hole Argument and Einstein's Struggle with General Covariance In the pursuit of a complete theory of gravity, Albert Einstein encountered a conceptual paradox that nearly derailed the...
Read The Hole Argument and Einstein's Struggle with General Covariance