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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Local blow-up of stratified sets up to bordism


Authors: S. Buoncristiano and M. Dedò
Journal: Trans. Amer. Math. Soc. 273 (1982), 253-280
MSC: Primary 58A35; Secondary 57R90
MathSciNet review: 664041
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Abstract: Homological obstructions are given, whose vanishing is a necessary and sufficient condition for the existence of a blow-up of an abstract prestratification $ V$ along a 'locally top-dimensional' substratification $ V'$.


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DOI: https://doi.org/10.1090/S0002-9947-1982-0664041-5
Keywords: Stratified set, blow-up, bordism, characteristic numbers
Article copyright: © Copyright 1982 American Mathematical Society