In
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, the term path space refers to any
topological space of
paths from one specified set into another. In particular, it may refer to:
* The
classical Wiener space of
continuous paths
* The
Skorokhod space of
càdlàg paths
* For the usage in algebraic topology, see
path space (algebraic topology) In algebraic topology, a branch of mathematics, the path space PX of a based space (X, *) is the space that consists of all maps f from the interval I = , 1/math> to ''X'' such that f(0) = *, called paths.Martin FranklandMath 527 - Homotopy Theory ...
. For Moore's path space, see
path space fibration#Moore's path space.
See also:
loop space, the space of
loops in a topological space
{{Mathematical disambiguation