Values of The Gimel Function
The gimel function has the property for all infinite cardinals κ by König's theorem.
For regular cardinals, and Easton's theorem says we don't know much about the values of this function. For singular, upper bounds for can be found from Shelah's PCF theory.
Read more about this topic: Gimel Function
Famous quotes containing the words values and/or function:
“The vulgar crowd values friends according to their usefulness.”
—Ovid (Publius Ovidius Naso)
“The mother’s and father’s attitudes toward the child correspond to the child’s own needs.... Mother has the function of making him secure in life, father has the function of teaching him, guiding him to cope with those problems with which the particular society the child has been born into confronts him.”
—Erich Fromm (1900–1980)