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Topic: About PL manifolds and real algebraic sets
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Maarten Bergvelt

Posts: 2
Registered: 5/17/11
About PL manifolds and real algebraic sets
Posted: May 17, 2011 11:30 AM
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Hi,

Work of S. Akbulut and H. C. King show that every PL-manifold M
is combinatorially equivalent to a real algebraic set A (possibly with
singularities).

S. Akbulut and H. C. King. Real Algebraic Structures on Topological Spaces,
Publ. I.H.E.S., Vol. 53 (1981), 79-162, MR #83h:58009

In their work, Akbulut and King do not show (as far as i
remember) the explicit algebraic equations defining the algebraic set A.

My questions are: Does anyone know this work and how one could
deduce the algebraic equations defining A ?? Also, and the most important
of my two questions: Can these equations be defined with polynomials which
have *only* rational coefficients ??

Thanks in advance for all your answers !!!

Greetings...

Rodolfo Conde.





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