The composition of regular maps is again regular; thus, algebraic varieties form the category of algebraic varieties where the morphisms are the regular maps.
12.
A rational map is to a regular map as a rational function is to a polynomial : it may be indeterminate at some points.
13.
It is a crucial fact that there is a finite ( non-zero ) number of regular maps for every orientable genus except the torus.
14.
The following is a complete list of regular maps in surfaces of positive Euler characteristic, & chi; : the sphere and the projective plane ..
15.
The M�bius Kantor graph admits an embedding into a triple torus ( genus 3 torus ) that is a regular map having four 12-gonal faces;.
16.
When the player's character touches an enemy, the screen transitions from the regular map to a separate battle screen similar to those used in previous " Final Fantasy " titles.
17.
First, a regular map of Green Island, and then a series of satellite images that show the stream ( not always visible ) surrounding Green Island, together with the Hudson River.
18.
The case " n " = 1 ( irreducible algebraic curves in the regular maps as morphisms ) and the category of function fields of one variable over " k ".
19.
The 5-regular Clebsch graph can be embedded as a regular map in the orientable manifold of genus 5, forming pentagonal faces; and in the non-orientable surface of genus 6, forming tetragonal faces.
20.
A regular map between removable, but the distinction is usually ignored in practice . ) In particular, a regular map into the complex numbers is just a usual holomorphic function ( complex-analytic function ).
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