Title

Parametric Homotopy Principle of Some Practical Differential Relations.

Author (Researcher Name)

Mahuya Datta Dr., Indian Statistical InstituteFollow

Date of Submission

2-22-1993

Date of Award

2-22-1994

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Mathematics

Department

Theoretical Statistics and Mathematics Unit (TSMU-Kolkata)

Supervisor

Mukherjee, Amiya (TSMU-Kolkata; ISI)

Abstract (Summary of the Work)

A system uf r-th order partial differential inequalities is a subspace in the space of r-jets of CT" maps between manifolds. The problem of homotopy classification of C solutions of such systems is stauliel in this thesis. The text roughly divides into two parts. In the first part, the problem is considered in an equivariant setting when the system is open and invariant under the action of a compact L.ie group, but may not be invariant under the action of the pseudogroup of equivariant local diffeomorphisms. The second part concerns a non-equivariant set-up without the openness condition on the systern. The material is informally discussed in the introduction.

Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28843020

Control Number

ISILib-TH151

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/2146

Recommended Citation

Datta, Mahuya Dr., "Parametric Homotopy Principle of Some Practical Differential Relations." (1994). Doctoral Theses. 242.
https://digitalcommons.isical.ac.in/doctoral-theses/242