Basepoint may refer to a point singled out in a: Pointed set, or in a Pointed space Origin (mathematics) This disambiguation page lists mathematics articles...
or based space is a topological space with a distinguished point, the basepoint. The distinguished point is just simply one particular point, picked out...
equivalent notion of an ample divisor. In more detail, a line bundle is called basepoint-free if it has enough sections to give a morphism to projective space...
an element of X {\displaystyle X} called the base point, also spelled basepoint.: 10–11 Maps between pointed sets ( X , x 0 ) {\displaystyle (X,x_{0})}...
product of two pointed spaces (i.e. topological spaces with distinguished basepoints) (X, x0) and (Y, y0) is the quotient of the product space X × Y under...
contravariant functors from the category of pointed topological spaces and basepoint-preserving continuous maps to the category of sets and functions. They...
holonomy group depends on the basepoint p only up to conjugation in G. Explicitly, if q is any other chosen basepoint for the holonomy, then there exists...
"distinguished point", called a basepoint. A pointed map is then a map which preserves basepoints; that is, it sends the basepoint of the domain to that of the...
the opposite direction. With the two points taken as 0 and 1, the fixed basepoint P being on the real axis between them, an example is the path that starts...
exclusive economic zone of North Korea stretches 200 nautical miles from its basepoints in both the West Sea (Yellow Sea) and the Sea of Japan. The EEZ was declared...
of a loop. Whereas a loop has a distinguished point on it, called its basepoint, a free loop lacks such a distinguished point. Formally, let X {\displaystyle...
equivalence classes are given by homotopies that are constant on the basepoint of the sphere. Equivalently, define π n ( X ) {\displaystyle \pi _{n}(X)}...
Under the treaty, LTEs may be used as basepoints for a territorial sea, and the U.S. uses Nunez Rocks as a basepoint. As a non-signatory, however, there...
space with the image of S ( E ) {\displaystyle S(E)} in the quotient as basepoint. If B is compact, then T ( E ) {\displaystyle T(E)} is the one-point compactification...
and Y are pointed spaces (i.e. topological spaces with distinguished basepoints x 0 {\displaystyle x_{0}} and y 0 {\displaystyle y_{0}} ) the wedge sum...
archipelago ("basepoints"). The current baselines were established by Government Regulation 38 of 2002 which defined by 183 coordinate points as basepoints. The...
number he owes the winner If the winner is east all losers double the basepoints If east player is a losing player he pays double the points to the winner...
times. There is an analogous construction for topological spaces without basepoint. The free loop space of a topological space X is the space of maps from...
a boundary based on the principle of equidistance, but with different basepoint selections, resulting in small differences in the line. Resolution of...
Under the treaty, LTEs may be used as basepoints for a territorial sea, and the U.S. uses Nunez Rocks as a basepoint. As a non-signatory, however, there...
on X, we can construct an associated Klein geometry (G, H) by fixing a basepoint x0 in X and letting H be the stabilizer subgroup of x0 in G. The group...
E1 and E2 is a dense morphism f : E1 → E2 of varieties that preserves basepoints (i.e. f maps the identity point on E1 to that on E2). This is equivalent...
Global Information