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A Boundary Operator for Simplices - MaRDI portal

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A Boundary Operator for Simplices

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Publication:6227661

arXiv1109.2161MaRDI QIDQ6227661

Author name not available (Why is that?)

Publication date: 9 September 2011

Abstract: We generalize the very well known boundary operator of the ordinary singular homology theory, defined in many books about algebraic topology. We describe a variant of this ordinary simplicial boundary operator where the usual boundary (n-1)-simplices of each n-simplex are replaced by combinations of internal (n-1)- simplices parallel to the faces. This construction may lead to an infinite class of extraordinary non-isomorphic homology theories. We show further some interesting constructions on the standard simplex.





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