RESEARCH IN DIFFERENTIAL TOPOLOGY AND ON ALGEBRAIC STRUCTURES
Technical Report
·
OSTI ID:4769756
The homomorphism theorem and the isomorphism theorems, including the Lemma of Zassenhas, for algebraic structures with composition laws that need not be universally defined are presented. Categories of manifolds and of fiber bundles are being studied in terms of atlases. The construction of a fiber bundle from an atlas is described. An axiomatic study was made of non-linear connecti ons on a differenti able manifold, in a semi-classical setting. Tensors and their operations are defined invariantly. The concept of a tensor subfield is introduced. Studies were also made of a class of categories in which exact sequences of maps can be defined and their functional properties proved. (M.C.G.)
- Research Organization:
- New Mexico. Univ., Albuquerque
- DOE Contract Number:
- AT(29-1)-789
- NSA Number:
- NSA-17-004878
- OSTI ID:
- 4769756
- Report Number(s):
- TID-17355; SCDC-2933
- Country of Publication:
- United States
- Language:
- English
Similar Records
Graded manifolds and vector bundles: A functorial correspondence
Geometry of Lie-admissible algebras
Isomorphisms between C*-ternary algebras
Journal Article
·
Mon Jul 01 00:00:00 EDT 1985
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:5768073
Geometry of Lie-admissible algebras
Conference
·
Sun Jan 31 23:00:00 EST 1982
· Hadronic J.; (United States)
·
OSTI ID:6693112
Isomorphisms between C*-ternary algebras
Journal Article
·
Sun Oct 15 00:00:00 EDT 2006
· Journal of Mathematical Physics
·
OSTI ID:20861064