A complex analytic space is a locally ringed -space which is locally isomorphic to a local model space.
Morphisms of complex analytic spaces are defined to be morphisms of the underlying locally ringed spaces, it is also called holomorphic maps.
Famous quotes containing the words complex, analytic and/or space:
“We must open our eyes and see that modern civilization has become so complex and the lives of civilized men so interwoven with the lives of other men in other countries as to make it impossible to be in this world and out of it.”
—Franklin D. Roosevelt (18821945)
“You, that have not lived in thought but deed,
Can have the purity of a natural force,
But I, whose virtues are the definitions
Of the analytic mind, can neither close
The eye of the mind nor keep my tongue from speech.”
—William Butler Yeats (18651939)
“And Space with gaunt grey eyes and her brother Time
Wheeling and whispering come,”
—James Elroy Flecker (18841919)