On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane Into the Plane

Hassler Whitney

Type: Book-Chapter

Publication Date: 1992-01-01

Citations: 358

DOI: https://doi.org/10.1007/978-1-4612-2972-8_27

View Publication

Locations

Birkhäuser Boston eBooks - View

Similar Works

Action	Title	Year	Authors
+	On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane	1955	Hassler Whitney
+	Singularities of Mappings of Euclidean Spaces	1992	Hassler Whitney
+	On Singularities of Mappings from the Plane into the Plane	1976	Yung-Chen Lu
+ PDF Chat	Singularities of piecewise linear mappings. I Mappings into the real line	1962	A. Kosiński
+	Singularities of Mappings	2022	David Mond J. J. Nuño‐Ballesteros
+	Singularities of smooth mappings with patterns	2007	佐治健太郎
+	Singularities of differentiable mappings	1971	Harold Levine
+	Singularities of smooth mappings	1968	Vladimir I. Arnold
+	On the singularities of certain families of nonlinear mappings	1995	Wolfgang W. Breckner Тибериу Триф
+	Topics on singularities of mappings	1976	Ubiratán D’Ambrosio
+	Singularities of smooth mappings (Volume 23, 1968)	1981	Vladimir I. Arnold
+	On the singularities of an analytic function with values in a Banach space	1960	Helmut Schaefer
+	Remarks on Order of a Function on an Analytic Space (Singularities of Differentiable Mappings)	1980	Shuzo Izumi
+	II Singularities of mappings	1971	C. T. C. Wall
+	Extremal Quasiconformal Mappings in Plane Domains	1998	Clifford J. Earle Zhong Li
+	Geometry of 3-manifolds in Euclidean space (Theory of singularities of smooth mappings and around it)	2016	Rosane Rossato Binotto Sueli I. R. Costa M. C. Romero Fuster
+	Local Topological Properties of Differentiable Mappings (Singularities of Differentiable Mappings)	1980	Takuo Fukuda
+	Projections of hypersurfaces in $mathbb{R}^{4}$ to planes (Theory of singularities of smooth mappings and around it)	2016	Luciana F. Martins Ana Claudia Nabarro
+	Singularities of Mappings	2020	David Mond J. J. Nuño‐Ballesteros
+	Fixed points of continuous mappings into Euclidean n-space	1962	Alexander Abian Arthur B. Brown

Works That Cite This (231)

Action	Title	Year	Authors
+	Eliashberg's h-principle and generic maps of surfaces with prescribed singular locus	2020	Andrey Ryabichev
+ PDF Chat	Generic singularities of implicit systems of first order differential equations on the plane	2008	А. А. Давыдов Goo Ishikawa S. Izumiya Weijia Sun
+	SINGULARITIES OF SMOOTH MAPPINGS	1968	Vladimir I. Arnold
+ PDF Chat	The golden age of immersion theory in topology: 1959--1973. A mathematical survey from a historical perspective	2005	David Spring
+ PDF Chat	Multiple viscous solutions for systems of conservation laws	1995	A. V. Azevedo D. Marchesin
+	Global Structure for Nonlinear Operators in Differential and Integral Equations I. Folds	1997	P. T. Church J. G. Timourian
+	Generic linear perturbations	2016	Shunsuke Ichiki
+	Round fold maps and the topologies and the differentiable structures of manifolds admitting explicit ones	2013	Naoki Kitazawa
+	Vector fields liftable over finitely determined multigerms of corank at most one	2011	Takashi Nishimura
+	Around distance-squared mappings	2015	Shunsuke Ichiki Takashi Nishimura

Works Cited by This (7)

Action	Title	Year	Authors
+	The general type of singularity of a set of 2n−1 smooth functions of n variables	1943	Hassler Whitney
+	Differentiable even functions	1943	Hassler Whitney
+ PDF Chat	The critical points of a function of 𝑛 variables	1931	Marston Morse
+	Differentiability of the remainder term in Taylor’s formula	1943	Hassler Whitney
+	Analytic Extensions of Differentiable Functions Defined in Closed Sets	1992	Hassler Whitney
+ PDF Chat	Relations between the critical points of a real function of 𝑛 independent variables	1925	Marston Morse
+	The Singularities of a Smooth n-Manifold in (2n - 1)-Space	1944	Hassler Whitney