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any (continuous) map N → M between stably parallelizable compact n-manifolds, n 6= 1, 2, 3, 7, is realizable in R, i.e. the composition of f with an embedding M ⊂ R is C-approximable by embeddings. It has been long believed that any degree 2 map S → S, obtained by capping off at infinity a time-symmetric (e.g. Shapiro’s) sphere eversion S×I → R, was non-realizable in R. We show that there exist...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1969
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-65-3-325-343