無限変数の微分形式について

概要

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In this paper, the theory of differential forms of infinite variables is constructed by analogy with the one of finite variables. Of course many difficulties appear because of the infiniteness, but analogous results to the finite case are obtained. For example, the necessary and sufficient condition that a system of differential forms of degree one ω_1, ω_2, … to be linearly independent is Π^∞_<i=1>ω_i≠0 with modified meaning of the linear independence and infinite product.
茨城大学文理学部の論文