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A Dense Arcwise Connected Set of Critical Points – Molehills Out of Mountains
Author(s) -
Körner T. W.
Publication year - 1988
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-38.3.442
Subject(s) - differentiable function , plane (geometry) , constant (computer programming) , mathematics , arc (geometry) , construct (python library) , function (biology) , set (abstract data type) , geometry , pure mathematics , computer science , programming language , evolutionary biology , biology
We construct a non‐constant once‐differentiable function on the plane such that any two points can be connected by an arc of critical points.