Corpus ID: 119598991

# Sobczyk's simplicial calculus does not have a proper foundation

@article{Macdonald2017SobczyksSC,
title={Sobczyk's simplicial calculus does not have a proper foundation},
author={A. Macdonald},
journal={arXiv: General Mathematics},
year={2017}
}
• A. Macdonald
• Published 2017
• Mathematics
• arXiv: General Mathematics
The pseudoscalars in Garret Sobczyk's paper \emph{Simplicial Calculus with Geometric Algebra} are not well defined. Therefore his calculus does not have a proper foundation.
2 Citations

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#### References

SHOWING 1-5 OF 5 REFERENCES
Simplicial calculus with Geometric Algebra
We construct geometric calculus on an oriented k-surface embedded in Euclidean space by utilizing the notion of an oriented k-surface as the limit set of a sequence of k-chains. This method providesExpand