— if to divide a continuum it suffices to consider as cuts a certain number of elements all distinguishable from one another, we say that this continuum is of one dimension ; if, on the contrary, to divide a continuum it is necessary to consider as... History of Topology - Pàgina 13editat per - 1999 - 1056 pàginesPrevisualització limitada - Sobre aquest llibre
| 1906 - 598 pàgines
...we shall say that this continuum is of several dimensions. If to divide a continuum C, cuts forming one or several continua of one dimension suffice,...say that C is a continuum of two dimensions; if cuts suffice which form one or several continua of two dimensions at most, we shall say that C is a continuum... | |
| J. van Cleve, R.E Frederick - 1991 - 386 pàgines
...[of zero dimensions] we say (hat C is of one dimension. ... If to divide a continuum C, cuts forming one or several continua of one dimension suffice,...say that C is a continuum of two dimensions; if cuts suffice which form one or several continua of two dimensions at most, we shall say that C is a continuum... | |
| C.E. Aull, R. Lowen - 1997 - 416 pàgines
...suffices to consider a certain number of elements all distinguishable from one another, we say that the continuum is of one dimension; if on the contrary,...C is a continuum of three dimensions; and so on." These lines are taken from the book La Valeur de la Science, Paris, 1905, pp. 73 and 74 (we quote after... | |
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