...generalizations and translation of geometric concepts into the language of algebra are incorporated, is the system of axioms proposed by H. Weyl (1916). One o
...replaced by calculations after having been translated into the language of algebra.
25 KB (3,631 words) - 19:39, 5 June 2020
...e length. In this way, the completeness of the surface in the sense of its interior metric is guaranteed. This example shows that an intrinsically-complete sur
is the interior domain of an horocycle in the Lobachevskii plane. The universal covering $
48 KB (7,189 words) - 08:02, 6 June 2020
...ds of the theory of functions of a complex variable on the one hand and of algebra and algebraic geometry on the other hand is characteristic of the whole per
are called interior and the other points, that are mapped to the points of the segment
34 KB (4,972 words) - 13:13, 6 January 2022
...s it to the second component. After this it is necessary to remove all the interior points of the tape as well as the boundary points at which the gluing has t
...with which it is easier to work (e.g. they can be described by commutative algebra) and which at the same time provide enough information. The most important
37 KB (5,595 words) - 17:15, 18 May 2024
is the distance between two points in the interior of the oval, then
...try" ''Progress in Math.'' , '''12''' (1972) pp. 173–214 ''Itogi Nauk. Algebra. Topol. Geom. 1968'' (1970) pp. 157–191</TD></TR></table>
28 KB (4,292 words) - 08:45, 1 July 2022
...'J. Soviet Math.'' , '''2''' : 3 (1974) pp. 264–303 ''Itogi Nauk. i Tekhn. Algebra. Topol. Geom.'' , '''10''' (1972) pp. 47–112 {{MR|}} {{ZBL|1068.14059}} <
...closed sets" , ''General topology and its relations to modern analysis and algebra (Proc. Symp. Prague)'' , Acad. Press (1961) pp. 123–132 {{MR|}} {{ZBL|}}
64 KB (9,418 words) - 12:44, 8 February 2020