| On Poincar\'{e}-Type Continuum and Certain of Its Basic Properties |
| Received:August 15, 2007 Revised:November 22, 2007 |
| Key Words:
Poincar\'{e}'s intimate bond (IB) hyperstandard microinterval semi-infinitesimal non-punctiform element.
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| Abstract: |
| This is an expositive paper reflecting certain viewpoint of intuitionists for the structure of continuum. What we provide is a descriptive theory for Poincar\'{e}-type continuum whose first hyperstandard model (PC) was given previously$^{[3]}$. Here we construct a new hyperstandard model [PC] instead of (PC), and present three propositions related to the concept of semi-infinitesimal. Finally, an application of $\overline{R}$ (non-Cantorian continuum) in Calculus is expounded. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.01.002 |
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