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Abstract
Let be a continuous function from a connected n-dimensional polyhedron Pn to Rn. Assume Φn does not vanish on the boundary b(Pn) so that the topological degree of Φn relative to the origin is defined. Let ωi be the modulus of continuity of
Assume
where the Ωn are known functions which are O(t). An algorithm is given which subdivides b(Pn) in a certain way, then terminates; the degree may then be readily calculated using a formula of[6] in a special way which avoids much of the computation.
†This paper is based on a portion of the author's Ph.D. thesis written under the direction of Professor P. M. Anselone at Oregon State University, and was written in part while the author was visiting Indiana University at Bloomington.
†This paper is based on a portion of the author's Ph.D. thesis written under the direction of Professor P. M. Anselone at Oregon State University, and was written in part while the author was visiting Indiana University at Bloomington.
Notes
†This paper is based on a portion of the author's Ph.D. thesis written under the direction of Professor P. M. Anselone at Oregon State University, and was written in part while the author was visiting Indiana University at Bloomington.