Smooth Infinitesimal Analysis Based Model of Multidimensional Geometry

  title={Smooth Infinitesimal Analysis Based Model of Multidimensional Geometry},
  author={Alexander Egoyan},
In this work a new approach to multidimensional geometry based on smooth infinitesimal analysis (SIA) is proposed. An embedded surface in this multidimensional geometry will look different for the external and internal observers: from the outside it will look like a composition of infinitesimal segments, while from the inside like a set of points equipped by a metric. The geometry is elastic. Embedded surfaces possess dual metric: internal and external. They can change their form in the bulk… CONTINUE READING


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Historical Reasons and Possible Ways of the New Scientific Synthesis

A. Egoyan
XXIII International Congress of History of Science and Technology, • 2009
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A Primer of Infinitesimal Analysis

J. L. Bell
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