Remarks on minimal round functions

Georgi Khimshiashvili, and Dirk Siersma. "Remarks on minimal round functions." Banach Center Publications 62.1 (2003): 159-172. <http://eudml.org/doc/282493>.

@article{GeorgiKhimshiashvili2003,
abstract = {We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.},
author = {Georgi Khimshiashvili, Dirk Siersma},
journal = {Banach Center Publications},
keywords = {round function; round Morse function; equisingular critical loop; isolated line singularity; Lusternik-Schnirelmann category},
language = {eng},
number = {1},
pages = {159-172},
title = {Remarks on minimal round functions},
url = {http://eudml.org/doc/282493},
volume = {62},
year = {2003},
}

TY - JOUR
AU - Georgi Khimshiashvili
AU - Dirk Siersma
TI - Remarks on minimal round functions
JO - Banach Center Publications
PY - 2003
VL - 62
IS - 1
SP - 159
EP - 172
AB - We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.
LA - eng
KW - round function; round Morse function; equisingular critical loop; isolated line singularity; Lusternik-Schnirelmann category
UR - http://eudml.org/doc/282493
ER -