Unique Triangulation of the Orbit Space of a Differentiable Transformation Group and its Applications

Keywords

Group (periodic table), Triangulation, Orbit (dynamics), Differentiable function, Computer science

References

• The classification of G-spacesRichard S. Palais — 1960
• Equivariant K-theory and Fredholm operatorsTakao Matsumoto — 1971
• Introduction to compact transformation groupsG. E. Bredon — 1972
• Smooth equivariant triangulations ofG-manifolds forG a finite groupSören Illman — 1978
• The triangulability of the orbit space of a differentiable transformation groupC. T. Yang — 1963
• TRIANGULATIONS OF SUBANALYTIC SETS AND LOCALLY SUBANALYTIC MANIFOLDSMasahiro Shiota, M. Yokoi — 1984
• Piecewise Linearization of Real Analytic FunctionsMasahiro Shiota — 1984
• Triangulation of subanalytic sets and proper light subanalytic mapsRobert Hardt — 1976
• Triangulation of stratified fibre bundlesAndrei Verona — 1979
• The equivariant triangulation theorem for actions of compact Lie groupsS�ren Illman — 1983
• C 1 Actions of Compact Lie Groups on Compact Manifolds are C 1 -Equivalent to C ∞ ActionsRichard S. Palais — 1970
• On C 1 -ComplexesJ. H. C. Whitehead — 1940
• Topological Transformation GroupsFernando Haas, Dominique Mikell Montgomery, Leo Zippin — 1956
• Differential TopologyMorris W. Hirsch — 1976
• Whitehead torsion and group actionsSören Illman — 1975
• Triangulations of Subanalytic Sets and Locally Subanalytic ManifoldsMasahiro Shiota, M. Yokoi — 1984

Cited by

• Hilbert's Fifth Problem: ReviewSören Illman — 2001
• Restricting the transformation group in equivariant CW complexesSören Illman — 1990
• Accion de cartan, un caso especial de accion de grupos en sistemas dinamicosCarlos Arturo Escudero Salcedo, Óscar Fernández Sánchez, Luis Eduardo Osorio Acevedo — 2009
• ACCIÓN DE GRUPOS, DE LAGRANGE A NUESTROS DÍASÓscar Fernández Sánchez, Luis Eduardo Osorio Acevedo — 2009
• EQUIVARIANT SEMI-ALGEBRAIC TRIANGULATIONS OF REAL ALGEBRAIC G -VARIETIESDae Heui Park, Dong Youp Suh — 1996
• On the uniqueness of the analyticity of a proper G-actionFrank Kutzschebauch — 1996
• Three basic results for real analytic proper G-manifoldsSören Illman, Marja Kankaanrinta — 2000
• Real analytic structures on a symplectic manifoldFrank Kutzschebauch, Frank Loose — 2000
• Triangulation of the map of a G-manifold to its orbit spaceMitsutaka Murayama, Masahiro Shiota — 2010
• Equivariant s-cobordism theoremsShôrô Araki, Katsuo Kawakubo — 1988
• On the existence of global Nash slicesFrancesco Guaraldo — 2015
• Equivariant Kählerian extensions of contact manifoldsAyşe Kurtdere — 2010
• A subanalytic triangulation theorem for real analytic orbifoldsMarja Kankaanrinta — 2011
• G-s-cobordant manifolds are not necessarily G-homeomorphic for arbitrary compact Lie groups GKatsuo Kawakubo — 1993
• Una caracterización de acciones libres y propiamente discontinuas.A S Carlos Escudero, Shery Fernandez, A Luis Eduardo Osorio — 2009
• Fixed point sets of smooth group actions on disks and Euclidean spacesKrzysztof Pawałowski — 1989
• Smoothly equivalent real analytic properG-manifolds are subanalytically equivalentS�ren Illman — 1996
• Cosimplicial Groups and Spaces of HomomorphismsBernardo Villarreal — 2016
• Equivariant control data and neighborhood deformation retractionsMarkus J. Pflaum, Graeme Wilkin — 2017
• Countable approximation of topological G-manifolds: Compact Lie groups GQayum Khan — 2017

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