-
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...
-
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...
- or
based space is a
topological space with a
distinguished point, the
basepoint. The
distinguished point is just
simply one
particular point,
picked out...
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attached to
every non-
basepoint of X {\displaystyle X} , and the
basepoints of all
these circles are
identified and
glued to the
basepoint of X {\displaystyle...
-
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...
- 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})}...
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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...
-
together with a
continuous multiplication for
which the
basepoint is an
identity element up to
basepoint-preserving homotopy. One says that a
topological space...
- {\displaystyle X\vee Y} , the
space obtained by
gluing the
basepoint of X to the
basepoint of Y. In the
category of
abelian groups,
pushouts can be thought...
