Hatcher-Topology-of-Numbers · Problem 5.1.3

Classification of Quadratic Forms

Mathematics — Algebraic Topology · four-types-of-forms

Problem

Show that if a form takes the same value on two adjacent regions of its topograph, then these regions are both adjacent to the source vertex or edge when the form is elliptic, or both lie along the separator line when the form is hyperbolic.

Related theory

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