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Differentiable Functions on the Rationals
Author(s) -
Körner T. W.
Publication year - 1991
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/23.6.557
Subject(s) - rational number , mathematics , differentiable function , bijection , inverse , function (biology) , pure mathematics , discrete mathematics , biology , geometry , evolutionary biology
We construct a smooth bijective function from the rationals to the rationals whose inverse is nowhere continuous.