Fundamental domains and extension of equivariant maps

1996 ◽  
pp. 13-30
Author(s):  
Alexander Kushkuley ◽  
Zalman Balanov
Keyword(s):  
Equivariant Maps ◽  
Fundamental Domains

scholarly journals Stratifications of equivariant varieties

1977 ◽  
Vol 16 (2) ◽  
pp. 279-295 ◽  
Author(s):  
M.J. Field
Keyword(s):  
Lie Group ◽  
General Position ◽  
Higher Order ◽  
Order Conditions ◽  
Compact Lie Group ◽  
Algebraic Varieties ◽  
Equivariant Maps

Let G be a compact Lie group and V and W be linear G spaces. A study is made of the canonical stratification of some algebraic varieties that arise naturally in the theory of C∞ equivariant maps from V to W. The main corollary of our results is the equivalence of Bierstone's concept of “equivariant general position” with our own of “G transversal”. The paper concludes with a description of Bierstone's higher order conditions for equivariant maps in the framework of equisingularity sequences.

scholarly journals Polyominoes and Polyiamonds as Fundamental Domains of Isohedral Tilings with Rotational Symmetry

Symmetry ◽  
2011 ◽  
Vol 3 (4) ◽  
pp. 828-851 ◽  
Author(s):  
Hiroshi Fukuda ◽  
Chiaki Kanomata ◽  
Nobuaki Mutoh ◽  
Gisaku Nakamura ◽  
Doris Schattschneider
Keyword(s):  
Rotational Symmetry ◽  
Fundamental Domains ◽  
Isohedral Tilings

scholarly journals Bourgin–Yang version of the Borsuk–Ulam theorem for ℤpk–equivariant maps

2012 ◽  
Vol 12 (4) ◽  
pp. 2245-2258 ◽  
Author(s):  
Wacław Marzantowicz ◽  
Denise de Mattos ◽  
Edivaldo dos Santos
Keyword(s):  
Equivariant Maps ◽  
Ulam Theorem

Essential Equivariant Maps and Borsuk-Ulam Theorems

2000 ◽  
Vol 61 (3) ◽  
pp. 950-960 ◽  
Author(s):  
Mónica Clapp ◽  
Wacław Marzantowicz
Keyword(s):  
Equivariant Maps
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