| 1 |
Y Ando, Smooth maps
with singularities of bounded K–codimensions arXiv:math.GT/0704.0115 |
| 2 |
Y Ando, The
homotopy type of the space consisting of regular jets and
folding jets in J2(n,n), Japan. J. Math. (N.S.)
24 (1998) 169–181 MR1630137 |
| 3 |
Y Ando, Fold-maps
and the space of base point preserving maps of spheres, J.
Math. Kyoto Univ. 41 (2001) 693–737 MR1891672 |
| 4 |
Y Ando, Folding maps and the
surgery theory on manifolds, J. Math. Soc. Japan 53
(2001) 357–382 MR1815139 |
| 5 |
Y Ando,
Invariants of fold-maps via stable homotopy groups,
Publ. Res. Inst. Math. Sci. 38 (2002) 397–450 MR1903746 |
| 6 |
Y Ando, Existence
theorems of fold-maps, Japan. J. Math. (N.S.) 30 (2004)
29–73 MR2070370 |
| 7 |
Y Ando, Smooth maps
having only singularities with Boardman symbol (1,0),
Topology Appl. 142 (2004) 205–226 MR2071303 |
| 8 |
Y Ando, Stable
homotopy groups of spheres and higher singularities, J.
Math. Kyoto Univ. 46 (2006) 147–165 MR2260821 |
| 9 |
Y Ando, A homotopy
principle for maps with prescribed Thom–Boardman
singularities, Trans. Amer. Math. Soc. 359 (2007)
489–515 MR2255183 |
| 10 |
Y Ando, The
homotopy principle for maps with singularities of given
K–invariant class, J. Math. Soc. Japan 59 (2007)
557–582 MR2326177 |
| 11 |
M F Atiyah,
Bordism and cobordism, Proc. Cambridge Philos. Soc. 57
(1961) 200–208 MR0126856 |
| 12 |
M F Atiyah,
Thom
complexes, Proc. London Math. Soc. (3) 11 (1961)
291–310 MR0131880 |
| 13 |
J M Boardman,
Singularities
of differentiable maps, Inst. Hautes Études Sci.
Publ. Math. (1967) 21–57 MR0231390 |
| 14 |
O Burlet, G de
Rham, Sur certaines applications génériques
d'une variété close à 3 dimensions dans le
plan, Enseignement Math. (2) 20 (1974) 275–292
MR0365594 |
| 15 |
H Cartan, S
Eilenberg, Homological algebra, Princeton University
Press (1956) MR0077480 |
| 16 |
D S Chess,
Singularity
theory and configuration space models of
ΩnSn of nonconnected spaces,
Topology Appl. 25 (1987) 313–338 MR889874 |
| 17 |
P E Conner,
E E Floyd, Differentiable periodic maps,
Ergebnisse der Math. und ihrer Grenzgebiete, N. F. 33, Academic
Press (1964) MR0176478 |
| 18 |
J Eliashberg,
Singularities of folding type, Izv. Akad. Nauk SSSR Ser.
Mat. 34 (1970) 1110–1126 MR0278321 |
| 19 |
J Eliashberg,
Surgery of singularities of smooth mappings, Izv. Akad.
Nauk SSSR Ser. Mat. 36 (1972) 1321–1347 MR0339261 |
| 20 |
J Eliashberg,
Cobordisme des solutions de relations
différentielles, from: "South Rhone seminar on
geometry, I (Lyon, 1983)", Travaux en Cours, Hermann (1984)
17–31 MR753850 |
| 21 |
S D Feit,
k–mersions of
manifolds, Acta Math. 122 (1969) 173–195 MR0243541 |
| 22 |
M L Gromov,
Stable mappings of foliations into manifolds, Izv. Akad.
Nauk SSSR Ser. Mat. 33 (1969) 707–734 MR0263103 |
| 23 |
M L Gromov, A
topological technique for the construction of solutions of
differential equations and inequalities, from: "Actes du
Congrès International des Mathématiciens (Nice,
1970), Tome 2", Gauthier-Villars (1971) 221–225 MR0420697 |
| 24 |
M L Gromov,
Partial differential relations, Ergebnisse der Math. und
ihrer Grenzgebiete [Results in Math. and Related Areas] (3) 9,
Springer (1986) MR864505 |
| 25 |
M W Hirsch,
Immersions of
manifolds, Trans. Amer. Math. Soc. 93 (1959)
242–276 MR0119214 |
| 26 |
K Ikegami, O
Saeki, Cobordism group of
Morse functions on surfaces, J. Math. Soc. Japan 55
(2003) 1081–1094 MR2003761 |
| 27 |
B Kalmár,
Cobordism invariants of fold maps arXiv:0709.0350 |
| 28 |
B Kalmár,
Cobordism of fold maps, stably framed manifolds and
immersions arXiv:0803.1666 |
| 29 |
B Kalmár,
Cobordism group of
Morse functions on unoriented surfaces, Kyushu J. Math.
59 (2005) 351–363 MR2188598 |
| 30 |
B Kalmár,
Cobordism group
of fold maps of oriented 3–manifolds into the
plane, Acta Math. Hungar. 117 (2007) 1–25
MR2356183 |
| 31 |
M Kazarian,
Multisingularities,
cobordisms, and enumerative geometry, Uspekhi Mat. Nauk
58 (2003) 29–88 MR2042262 |
| 32 |
M Kazarian, Thom
polynomials, from: "Singularity theory and its
applications", Adv. Stud. Pure Math. 43, Math. Soc. Japan
(2006) 85–135 MR2313410 |
| 33 |
S Kobayashi, K
Nomizu, Foundations of differential geometry. Vol I,
Interscience Publishers John Wiley & Sons (1963) MR0152974 |
| 34 |
J A Lees,
On
the classification of Lagrange immersions, Duke Math.
J. 43 (1976) 217–224 MR0410764 |
| 35 |
H I Levine,
Singularities of differentiable maps, from: "Proceedings
of Liverpool Singularities Symposium, (1969/1970)", Lecture
Notes in Math. 192, Springer (1971) 1–85 |
| 36 |
J Martinet,
Déploiements versels des applications
différentiables et classification des applications
stables, from: "Singularités d'applications
différentiables (Sém., Plans-sur-Bex, 1975)", Lecture
Notes in Math. 535, Springer (1976) 1–44 MR0649264 |
| 37 |
J N Mather,
Stability of C∞ mappings. III. Finitely
determined mapgerms, Inst. Hautes Études Sci. Publ.
Math. (1968) 279–308 MR0275459 |
| 38 |
J N Mather,
Stability
of C∞ mappings. IV. Classification of stable
germs by R–algebras, Inst. Hautes Études
Sci. Publ. Math. (1969) 223–248 MR0275460 |
| 39 |
J N Mather, On
Thom–Boardman singularities, from: "Dynamical systems
(Proc. Sympos., Univ. Bahia, Salvador, 1971)", Academic Press
(1973) 233–248 MR0353359 |
| 40 |
A Phillips,
Submersions
of open manifolds, Topology 6 (1967) 171–206
MR0208611 |
| 41 |
A du Plessis,
Maps without
certain singularities, Comment. Math. Helv. 50 (1975)
363–382 MR0397779 |
| 42 |
A du Plessis,
Contact-Invariant regularity conditions, from:
"Singularités d'applications différentiables
(Sém., Plans-sur-Bex, 1975)", Lecture Notes in Math. 535,
Springer (1976) 205–236 MR0482811 |
| 43 |
A du Plessis,
Homotopy
classification of regular sections, Compositio Math. 32
(1976) 301–333 MR0413163 |
| 44 |
R Rimányi, A
Szücs, Pontrjagin–Thom–type
construction for maps with singularities, Topology 37
(1998) 1177–1191 MR1632908 |
| 45 |
R Sadykov, Bordism
groups of solutions to differential relations arXiv:math.AT/0608460 |
| 46 |
R Sadykov, Bordism
groups of special generic mappings, Proc. Amer. Math.
Soc. 133 (2005) 931–936 MR2113946 |
| 47 |
O Saeki, Topology
of special generic maps into R3, Mat.
Contemp. 5 (1993) 161–186 MR1305180
Workshop on Real and Complex Singularities (São Carlos,
1992) |
| 48 |
O Saeki, Topology
of singular fibers of differentiable maps, Lecture Notes in
Math. 1854, Springer (2004) MR2106689 |
| 49 |
O Saeki, K
Sakuma, On special generic maps into
R3, Pacific J. Math. 184 (1998)
175–193 MR1626540 |
| 50 |
J P Serre,
Groupes
d'homotopie et classes de groupes abéliens, Ann.
of Math. (2) 58 (1953) 258–294 MR0059548 |
| 51 |
S Smale, The classification of
immersions of spheres in Euclidean spaces, Ann. of
Math. (2) 69 (1959) 327–344 MR0105117 |
| 52 |
E H Spanier,
Function spaces
and duality, Ann. of Math. (2) 70 (1959) 338–378
MR0107862 |
| 53 |
E H Spanier,
Algebraic topology, McGraw-Hill Book Co. (1966) MR0210112 |
| 54 |
N Steenrod, The
topology of fibre bundles, Princeton Math. Series 14,
Princeton University Press (1951) MR0039258 |
| 55 |
R E Stong,
Notes on cobordism theory, Math. notes, Princeton
University Press (1968) MR0248858 |
| 56 |
A Szűcs,
Cobordism of
singular maps, Geom. Topol. (2008) 2379–2452 |
| 57 |
R Thom, Quelques
propriétés globales des variétés
différentiables, Comment. Math. Helv. 28 (1954)
17–86 MR0061823 |
