3 citations · 5 across the 2 of their papers we have counts for
4 papers
Parity of n-Frames with Application to Non-Procrustean Orthogonalization
Jon A. Sjogren
The space of complete orthonormal frames in Euclidean space is not path connected. In fact it has exactly two path components, containing respectively the coordinate frame of n sta…
Complex Axis and de Medeiros' Campo Vetorial
Jon A. Sjogren
The Complex Axis theorem states that any endomorphism of a finite-dimensional complex vector space affords an eigen-vector (or "invariant axis"). A geometric proof of this geometri…
Homogeneous Systems and Euclidean Topology
Jon A. Sjogren
The Theorem on Invariance of Domain due to L.E.J. Brouwer states that one connected, compact (Hausdorff) m-dimensional manifold embedded into another actually realizes a homeomorph…
Real Polynomial Rings and Domain Invariance
Jon A. Sjogren
Recent proofs of classical theorems in polynomial algebra and functional analysis are discussed, which use tools from the topology of real manifolds. Simpler proofs were discovered…