PageHeader : Funkcialaj Ekvacioj, 36 (1993) 95-107
Title : An Application of the Eilenberg-Montgomery Theorem to
Title : Measurable Orientor Fields on Manifolds
AuthorInfo : By
AuthorInfo : Stanislaw DOMACHOWSKI and Tadeuz PRUSZKO
AuthorInfo : (Gdansk University, Poland)
section : 1. Definitions and assumptions
section : 2. Main theorems
section : 3. Reformulation of problem (2.1)
section : 4. Auxiliary results
section : 5. The space of the paths associated with the measurable convex-valued orientor field
section : 6. Proofs of theorems
subsection : 6.1 Proof of Theorem 3.10.
subsection : 6.2 Proof of Theorem 1. In virtue of Theorem 3.10 and Proposition 3.9, we obtain Theorem 1. $\blacksquare$
subsection : 6.3 Proof of Theorem 2. It is an immediate consequence of Theorem 1 provided the convex-valued orientor field is a single-valued field on $M^{n}$ . $\blacksquare$
subsection : 6.4 Proof of Theorem 3.
section : Appendix
section : References