Join theorem for real analytic singularities

Abstract

Let f1 and f2 be real analytic germs of independent variables. In this paper, we assume that f1, f2 and f = f1 + f2 satisfy af -condition. Then we show that the tubular Milnor fiber of f is homotopy equivalent to the join of tubular Milnor fibers of f1 and f2.

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