The metrical space of events. Part I

Cybernetics ◽  
1965 ◽  
Vol 1 (1) ◽  
pp. 20-24 ◽  
Author(s):  
V. G. Bodnarchuk
Keyword(s):  
Metrical Space

Physiological Space in Contrast with Metrical Space

1976 ◽  
pp. 251-263
Author(s):  
Ernst Mach ◽  
Erwin N. Hiebert
Keyword(s):  
Metrical Space

Lines and Planes in a Metrical Space

1927 ◽  
Vol 23 (6) ◽  
pp. 653-674
Author(s):  
W. Hunter
Keyword(s):  
End Points ◽  
Metrical Space ◽  
Image Position ◽  
Set Of Points

§ 1. “Stretches” joining Points in a Metrical Space.If x, y, z are any points in a metrical space, then by definitionRegarding x and y as fixed, we may define the set of points z for whichas the “stretch joining the points xy” or more shortly the stretch xy*. Then for points z not on the stretch,The stretch xy always contains the points x and y themselves, which we may call the “end-points” of the stretch. In particular cases, it may contain no other points: e.g. with the function δ0(x, y) = 1 when xǂy, each stretch contains only its end-points †.

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