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On the Geometric Algebra and Homotopy

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  • Yousuf Alkhezi

Abstract

This paper aims at evaluating geometric algebra’s applications and characteristics, as well as assessing the new characteristic known as pinched homotopy. We elaborate a new approach to the pinched tensor and present the impact of such tensor on the homotopy. We also substitute the ordinary tensor product with the pinched one. Motivated by the different properties of the two tensors, we study several cases on which the difference is shown with providing counterexamples. The proof of some theorems ensure this approach.

Suggested Citation

  • Yousuf Alkhezi, 2021. "On the Geometric Algebra and Homotopy," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(2), pages 1-52, April.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:2:p:52
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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