Let be a smooth map between two manifolds. We call a regular point provided the derivative is non singular, so that there exists a neighbourhood of such that it is diffeomorphically mapped onto its image.(See Inverse function theorem) A point is called a regular value if contains only regular points. Otherwise we call them crtitical […]
Category: Analysis
Construction of measures using random variables
Often we come across a problem to construct measures having certain properties. For instance we may want to construct one with its restriction to a class of subsets to be a desired function. We expect such a thing to exist may be because some of previous insights in, say, the finitary aspects of subject or […]