On condition of a stratified mapping
Annales de l'institut Fourier (1983)
- Volume: 33, Issue: 1, page 177-184
- ISSN: 0373-0956
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topKoike, Satoshi. "On condition $(a_f)$ of a stratified mapping." Annales de l'institut Fourier 33.1 (1983): 177-184. <http://eudml.org/doc/74568>.
@article{Koike1983,
abstract = {For a stratified mapping $f$, we consider the condition $(a_f)$ concerning the kernel of the differential of $f$. We show that the condition $(a_f)$ is equivalent to the condition $(a^S_f)$ which has a more obvious geometric content.},
author = {Koike, Satoshi},
journal = {Annales de l'institut Fourier},
keywords = {kernel of the differential; stratified map; a-f-condition},
language = {eng},
number = {1},
pages = {177-184},
publisher = {Association des Annales de l'Institut Fourier},
title = {On condition $(a_f)$ of a stratified mapping},
url = {http://eudml.org/doc/74568},
volume = {33},
year = {1983},
}
TY - JOUR
AU - Koike, Satoshi
TI - On condition $(a_f)$ of a stratified mapping
JO - Annales de l'institut Fourier
PY - 1983
PB - Association des Annales de l'Institut Fourier
VL - 33
IS - 1
SP - 177
EP - 184
AB - For a stratified mapping $f$, we consider the condition $(a_f)$ concerning the kernel of the differential of $f$. We show that the condition $(a_f)$ is equivalent to the condition $(a^S_f)$ which has a more obvious geometric content.
LA - eng
KW - kernel of the differential; stratified map; a-f-condition
UR - http://eudml.org/doc/74568
ER -
References
top- [1] C.G. GIBSON, K. WIRTHMULLER, A.A. du PLESSIS, E.J.N. LOOIJENGA, Topological stability of smooth mappings, Springer Lect. Notes, Berlin Vol. 552 (1976). Zbl0377.58006MR55 #9151
- [2] J. MATHER, Notes on topological stability, mimeographed, Harvard Univ. (1970).
- [3] D.J.A. TROTMAN, Geometric versions of Whitney regularity for smooth stratifications, Ann. scient. Ec. Norm. Sup., Vol. 12 (1979), 461-471. Zbl0456.58002MR81g:58002a
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