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Topology |
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Authors: Volker Thürey
We generalize the very well known boundary operator of the ordinary singular homology theory. We describe a variant of this ordinary simplicial boundary operator, where the usual boundary (n-1)-simplices of each n-simplex, i.e. the `faces´, are replaced by combinations of internal (n-1)-simplices parallel to the faces. This construction may lead to an infinte class of extraordinary non-isomorphic homology theories. Further, we show some interesting constructions on the standard simplex.
Comments: 37 Pages.
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[v1] 2020-01-24 02:05:43
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