For any two functions we put
if and only if there exists an open neighbourhood of such that
The corresponding quotient set is called the germ space at and we denote it by .
More generally, if , are topological spaces with , then consider the following set:
Again we define a relation on . If and , then put
if and only if there exists and open neighbourhood of such that and
The corresponding set is called the generalized germ space at and we denote it by .
|Date of creation||2013-03-22 19:18:20|
|Last modified on||2013-03-22 19:18:20|
|Last modified by||joking (16130)|