Self-Formation of the Spatial Planar Object. Topological Approach

Abstract:

Eight-dimensional topological space providing an object evolution in time, including causes of evolution is presented. Part of Euclidean space separated by any close surface from complementary space, where any Euclidean point of space is juxtaposed with parameter, is being felt as an object. Coplanar approximation of flat planar devices is based on the flat, homogeneous, isotropic planar object and chaotic medium. The new, more general approximation of the topological space by equidistant surfaces, suitable for spatial planar objects, is presented. Selfformation of spatial objects (homogeneous, non-homogeneous, anisotropic), medium (chaotic, chaotic oriented, homogeneous oriented, structural) based on non-homeomorpheous mapping in peculiar points and evolution irreversibility, is discussed.

• Periodical: Solid State Phenomena (Volumes 97-98)
• Pages: 85-90
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.97-98.85
• Online since: April 2004
• Authors: Stepas Janušonis
• Keywords: Coplanar Space, Evolution, Interaction, Parameter, Self-Formation, Topological Space

References

[1] Stepas Janušonis: Artificial Intelligence for Engineering Design, Analysis and Manufacturing Vol. 14 – Issue 03 – June 2000 (Cambridge University Press, USA), pp.221-234.

[2] Stepas Janušonis, Vida Janušonien � : in Proc. of the 6-th Int. Conf. Self-formation Theory and Application, (Vilnius, 2003), p.220.