Necessary and sufficient combinatorial conditions are established for definable homeomorphic extensions of injective maps from closed definable sets of dimension at most 1 in R^2 to the plane.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GN 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Planar extensions in o-minimal structures
Necessary and sufficient combinatorial conditions are established for definable homeomorphic extensions of injective maps from closed definable sets of dimension at most 1 in R^2 to the plane.