A Smooth Space of Tetrahedra

Smooth biproximity spaces and P-smooth quasi-proximity spaces

The notion of smooth biproximity space  where $delta_1,delta_2$ are gradation proximities defined by Ghanim et al. [10]. In this paper, we show every smooth biproximity space $(X,delta_1,delta_2)$ induces a supra smooth proximity space $delta_{12}$ finer than $delta_1$ and $delta_2$. We study the relationship between $(X,delta_{12})$ and the $FP^*$-separation axioms which had been introduced by...

0 Se p 20 02 GEOMETRY OF THE TETRAHEDRON SPACE

Let X be the space of all labeled tetrahedra in P. In [1] we constructed a smooth symmetric compactification X̃ of X. In this article we show that the complement X̃ r X is a divisor with normal crossings, and we compute the cohomology ring H(X̃ ;Q).

. A G ] 1 4 A ug 2 00 2 GEOMETRY OF THE TETRAHEDRON SPACE

Let X be the space of all labeled tetrahedra in P. In [1] we constructed a smooth symmetric compactification X̃ of X. In this article we show that the complement X̃ r X is a divisor with normal crossings, and we compute the cohomology ring H(X̃ ;Q).

m at h . A G ] 1 9 A ug 2 00 2 GEOMETRY OF THE TETRAHEDRON SPACE

Let X be the space of all labeled tetrahedra in P. In [1] we constructed a smooth symmetric compactification X̃ of X. In this article we show that the complement X̃ r X is a divisor with normal crossings, and we compute the cohomology ring H(X̃ ;Q).

A composite explicit iterative process with a viscosity method for Lipschitzian semigroup in a smooth Banach space