2001
DOI: 10.1215/kjm/1250517595
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Fold-maps and the space of base point preserving maps of spheres

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Cited by 24 publications
(25 citation statements)
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“…We proved the h-principle in (h-P) for fold-maps in [3] and [6]. Recently we introduced a very effective condition for the h-principle in (h-P) in [10].…”
Section: Classifying Spacementioning
confidence: 90%
“…We proved the h-principle in (h-P) for fold-maps in [3] and [6]. Recently we introduced a very effective condition for the h-principle in (h-P) in [10].…”
Section: Classifying Spacementioning
confidence: 90%
“…A smooth map f: N•¨P is a fold map if and only if the image of j2 f is contained in ƒ ¶n-p+1,0(N,P) and transverse to ‡"n-p+1,0(N,P 2.4 and Proposition 5.7 have already been proved in [An3]. We refer to [B-R], [S-S] and its references in low dimensions (3, 2) and (4, 3) A jet of ‡"n-p+1,0(N,P) will be called a fold jet.…”
mentioning
confidence: 86%
“…Suppose, conversely, that an embedded surface F = F 0 ∪ F 1 satisfying the above properties (1)- (4) is given. Note that, for the moment, we do not assume condition (5).…”
Section: Fold Maps and Embedded Surfacesmentioning
confidence: 99%
“…Ando [4,5,6] has shown the following theorem by using the homotopy principle for fold maps in the 2-jet level (see [3,Theorem 1] It has been known that the stable span of 4-manifolds satisfies the following (for details, see [40,19]). …”
Section: Stable Span and Fold Mapsmentioning
confidence: 99%