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Fix-point free affine transformations having invariant lines. (English) Zbl 1289.51022
Summary: We extend a result of E. Kasparek [Ann. Math. Sil. 24(2010), 35–37 (2011; Zbl 1229.51025)] characterizing continuous affine transformations without fixed points \(f : X \to X\) having invariant straight line to the case when \(X\) is an arbitrary real topological linear space.
MSC:
51N20 Euclidean analytic geometry
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