Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

TitleDynamical Systems VIII [electronic resource] : Singularity Theory II. Applications / edited by V. I. Arnol'd
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993
Connect tohttp://dx.doi.org/10.1007/978-3-662-06798-7
Descript VI, 238 p. online resource

SUMMARY

In the first volume of this survey (Arnol'd et al. (1988), hereafter cited as "EMS 6") we acquainted the reader with the basic concepts and methods of the theory of singularities of smooth mappings and functions. This theory has numerous applications in mathematics and physics; here we begin describing these applicaยญ tions. Nevertheless the present volume is essentially independent of the first one: all of the concepts of singularity theory that we use are introduced in the course of the presentation, and references to EMS 6 are confined to the citation of technical results. Although our main goal is the presentation of analready formulated theory, the readerwill also come upon some comparatively recent results, apparently unknown even to specialists. We pointout some of these results. 2 3 In the consideration of mappings from C into C inยง 3. 6 of Chapter 1, we define the bifurcation diagram of such a mapping, formulate a K(n, 1)-theorem for the complements to the bifurcation diagrams of simple singularities, give the definition of the Mond invariant N in the spirit of "hunting for invariants", and we draw the reader's attention to a method of constructing the image of a mapping from the corresponding function on a manifold with boundary. Inยง 4. 6 of the same chapter we introduce the concept of a versal deformation of a function with a nonisolated singularity in the dass of functions whose critical sets are arbitrary complete intersections of fixed dimension


Mathematics Algebraic geometry Mathematical analysis Analysis (Mathematics) Algebraic topology Manifolds (Mathematics) Complex manifolds Physics Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Analysis Theoretical Mathematical and Computational Physics Algebraic Geometry



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram