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Simplicial Structures in Topology

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Foreword to the English Edition<br />

Except for a few added comments, this is a faithful translation of the book Strutture<br />

simpliciali <strong>in</strong> topologia, published by Pitagora Editrice, Bologna 2009, as part of<br />

the collection Quaderni of the Italian Mathematical Union.<br />

It should be noted that this book is neither a comprehensive text <strong>in</strong> algebraic<br />

topology nor is it a monograph on simplicial objects <strong>in</strong> the modern sense. Its focus is<br />

<strong>in</strong>stead on the role of f<strong>in</strong>ite simplicial structures, and the algebraic topology deriv<strong>in</strong>g<br />

from them.<br />

We wish to thank Maria Nair Picc<strong>in</strong><strong>in</strong>i, who carefully and expertly translated the<br />

Italian monograph. We should also thank Karl Dilcher for suggest<strong>in</strong>g and work<strong>in</strong>g<br />

toward its <strong>in</strong>clusion <strong>in</strong> the monograph series of the Canadian Mathematical<br />

Society. F<strong>in</strong>ally, we thank Marcia Bunda, Assitant Editor, and Vaishali Damle,<br />

Senior Editor of Spr<strong>in</strong>ger for manag<strong>in</strong>g all the technical and bureaucratic aspects<br />

of the publication.<br />

vii

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