Hellow guys, Welcome to my website, and you are watching Topology: Borsuk-Ulam theorem and its variants. and this vIdeo is uploaded by Arturo Tozzi at 2016-11-11T05:17:01-08:00. We are pramote this video only for entertainment and educational perpose only. So, I hop you like our website.
| Name | Topology: Borsuk-Ulam theorem and its variants |
| Video Uploader | Video From Arturo Tozzi |
| Upload Date | This Video Uploaded At 11-11-2016 13:17:01 |
| Video Discription | NOTE: we applied the topological concepts described in the video also for the evaluation of the human brain's function. For further details, see: http://www.sciencedirect.com/science/article/pii/S1571064517300520 You can find the full text here: http://arturotozzi.webnode.it/products/topodynamics-of-metastable-brains/ Topology, the mathematical branch that assesses objects and their properties preserved through deformations, stretching and twisting, allows the investigation of the most general physical and biological systems features. In particular, the Borsuk-Ulam Theorem (BUT) states that, if a single point projects to a higher spatial dimension, it gives rise to two antipodal points with matching description. Physical and biological counterparts of BUT and its variants allow an inquiry of the world. The opportunity to treat systems as topological structures makes BUT a universal principle underlying natural phenomena. FURTHER NOTE: we used here a 2D circle and a 3D sphere. However, the concept can be extended in every dimension, either spatial, or temporal, or abstract. For example, we can find one region on a 4D sphere that projects to two regions on a 5D sphere. |
| Category | People & Blogs |
| Tags | topology | Borsuk-Ulam theorem | physics | biology | brain | mathemtics |
