INTRODUCTION. (1 of 2)

        Our interest is focused on investigating the topology of stratified spaces.
        In the last century, considerable effort has been directed towards studying
        manifolds - spaces that locally look uniform, at each point and in each
        direction. This effort has been immensely successful; a substantial part of
        our insight has been gained through the study of the signature invariant,
        various characteristic classes, bordism theory, the surgery program, etc.

        In recent decades, topologists have studied "singular" spaces with increasing
        interest, due to their numerous occurrences and applications within pure
        mathematics (algebraic geometry, number theory) and outside pure mathematics
        (mathematical physics).

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