In the course of writing a chapter of a book we observed some simple facts dealing with the Palais SmaIe property and critical points of functions. Some of these facts turned out to be known, though not well-known, and we think it worthwhile to make them more available. In addition, we present some
On critical points
โ Scribed by P. Van Der Leeden
- Publisher
- Elsevier Science
- Year
- 1955
- Weight
- 84 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0031-8914
No coin nor oath required. For personal study only.
โฆ Synopsis
ON CRITICAL POINTS t h e s e c o n d order, t h e s e p o i n t s are to be c o n s i d e r e d as critical p o i n t s in t h e sense d e f i n e d here. T h e r e s e e m s t o be no o b j e c t i o n a g a i n s t t h e i n d i c a t i o n " c r i t i c a l triple p o i n t " , as t h i s t e r m precisely t y p i f i e s t h e essential i n f o r m a t i o n . P. VAN DER LEEDEN.
๐ SIMILAR VOLUMES
We compare and contrast various notions of the "critical locus" of a complex analytic function on a singular space. After choosing a topological variant as our primary notion of the critical locus, we justify our choice by generalizing Lรช and Saito's result that constant Milnor number implies that T
**S. L. Huang's _Critical Point_ is a breakout SF thriller for fans of John Scalzi and Greg Rucka.** Math-genius mercenary Cas Russell has stopped a shadow organization from brainwashing the world and discovered her past was deliberately erased and her superhuman abilities deliberately created. A
Some remarks on a strict minimax inequality, which plays a fundamental role in Ricceri's three critical points theorem, are presented. As a consequence, some recent applications of Ricceri's theorem to nonlinear boundary value problems are revisited by obtaining more precise conclusions.
## Abstract In this paper, we study the critical pointโarboricity graphs. We prove two lower bounds for the number of edges of __k__โcritical pointโarboricity graphs. A theorem of Kronk is extended by proving that the pointโarboricity of a graph __G__ embedded on a surface __S__ with Euler genus __