On the distinction between one-dimensional Euclidean and hyperbolic spaces
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2017-10-13 20:02
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514.12 (6)
Geometrie (103)
SM ISO690:2012
POPA, Alexandru. On the distinction between one-dimensional Euclidean and hyperbolic spaces . In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 1(77), pp. 97-102. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(77) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322

On the distinction between one-dimensional Euclidean and hyperbolic spaces
CZU: 514.12

Pag. 97-102

Popa Alexandru
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 28 iulie 2015


Rezumat

The difference between Euclidean and hyperbolic spaces is clear starting with dimension two. However, the difference between elliptic space and both Euclidean and hyperbolic ones can be described also for dimension one. Does it mean that there is no difference between one-dimensional Euclidean and hyperbolic lines, or it is necessary to better define the difference between them? This paper proposes one possible way to draw clear distinction between one-dimensional Euclidean and hyperbolic lines.

Cuvinte-cheie
Points connectability, angle measurability, strong and weak separability.