Abstract
Using a certain cell decomposition of a closed neighborhood of a point a in a real analytic set A and the orientability modulo 2 of A ([1,3.7] or [5,7.3]), we obtain a short proof, by counting cells, of D. Sullivan's theorem ([9]) that X(A,A ∼ {a})) is odd.
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Research partially supported by NSF Grant GP29321.
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Hardt, R.M. Sullivan's local Euler characteristic theorem. Manuscripta Math 12, 87–92 (1974). https://doi.org/10.1007/BF01166236
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DOI: https://doi.org/10.1007/BF01166236