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From  -spaces to algebraic theories
Author(s):
Bernard
Badzioch
Journal:
Trans. Amer. Math. Soc.
357
(2005),
1779-1799.
MSC (2000):
Primary 55P48;
Secondary 18C10
Posted:
December 16, 2004
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Abstract:
The paper examines semi-theories, that is, formalisms of the type of the  -spaces of Segal which describe homotopy structures on topological spaces. It is shown that for any semi-theory one can find an algebraic theory describing the same structure on spaces as the original semi-theory. As a consequence one obtains a criterion for establishing when two semi-theories describe equivalent homotopy structures.
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Additional Information:
Bernard
Badzioch
Affiliation:
Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Address at time of publication:
Department of Mathematics, University of Buffalo, SUNY, Buffalo, New York 14260-2900
Email:
badzioch@math.umn.edu, badzioch@buffalo.edu
DOI:
10.1090/S0002-9947-04-03711-0
PII:
S 0002-9947(04)03711-0
Received by editor(s):
June 11, 2003
Posted:
December 16, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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