A classification of simple equivalence classes of function germs with respect to new relations is given. The equivalence relation is similar but weaker than the right action of diffeomorphisms which preserve the boundary. It is used in classifying Lagrange projections with boundary. The simple classes of function germs with respect to the equivalence similar to fibration preserving action are also discussed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc82-0-16,
author = {Vladimir M. Zakalyukin},
title = {Quasi singularities},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {215-225},
zbl = {1151.58024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc82-0-16}
}
Vladimir M. Zakalyukin. Quasi singularities. Banach Center Publications, Tome 83 (2008) pp. 215-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc82-0-16/