This booklet deals a variety of papers in accordance with talks on the 9th overseas Workshop on actual and complicated Singularities, a sequence of biennial workshops equipped by means of the Singularity conception team at Sao Carlos, S.P., Brazil. The papers care for all of the diversified subject matters in singularity thought and its functions, from natural singularity conception with regards to commutative algebra and algebraic geometry to these issues linked to numerous elements of geometry to homotopy thought.

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