Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

$ G$-transversality revisited


Authors: S. R. Costenoble and S. Waner
Journal: Proc. Amer. Math. Soc. 116 (1992), 535-546
MSC: Primary 57R91; Secondary 55N91, 55S91, 57R85
MathSciNet review: 1127138
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Abstract: We express the obstruction to $ G$-transversality in two related ways: as an element in the quotient of homotopical equivariant normal bordism by geometric bordism and also as the obstruction in a homotopy lifting problem. In both cases, our formulation is given in terms of the initial data only, in contrast to earlier theories. We also obtain related obstructions to equivariant "near" transversality, i.e., transversality using arbitrarily small homotopies.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1127138-3
Article copyright: © Copyright 1992 American Mathematical Society