Euler characteristic of abstract cubes complex
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2023-12-06 15:59
SM ISO690:2012
CATARANCIUC, Sergiu. Euler characteristic of abstract cubes complex. In: Conference of Mathematical Society of the Republic of Moldova, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, 3, pp. 330-333. ISBN 978-9975-68-244-2.
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Conference of Mathematical Society of the Republic of Moldova
3, 2014
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 19-23 august 2014

Euler characteristic of abstract cubes complex

Pag. 330-333

Cataranciuc Sergiu
 
Moldova State University
 
 
Disponibil în IBN: 10 octombrie 2017


Rezumat

The complex of abstract cubes In = fI0; I1; : : : ; Ing, de¯ned by m-dimensional cubes family In = fIm 1 ; Im 2 ; : : : ; Im ¯1 g, 0 · m · n is studied. Formula for the Euler characteristics for the In complex is deduced. The formula is expressed by cardinals of the groups of the homologies and by a number of m-dimensional abstract cubes from In.

Cuvinte-cheie
Abstract cubes, Euler characteristic, group of homologies, group rank, Betti number