Results 161 to 170 of about 933 (203)
Brain's geometries for movements and beauty judgments. A contribution of topos geometries. [PDF]
Bennequin D, Berthoz A.
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Block mapping class groups and their finiteness properties. [PDF]
Aramayona J +4 more
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Resolving the topology of encircling multiple exceptional points. [PDF]
Guria C +5 more
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Every group is the group of self-homotopy equivalences of finite dimensional $\mathrm{CW}$-complex
Mahmoud Benkhalifa
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ON STABLE HOMOTOPY EQUIVALENCES
The Quarterly Journal of Mathematics, 1995Let \(QX = \varinjlim \Omega^n \Sigma^nX\) be the free infinite loop space generated by the space \(X\). Let \(X\) and \(Y\) be finite CW complexes. The authors prove that if \(QX\) and \(QY\) are homotopy equivalent, then for some large integer \(n\), \(\Sigma^nX\) and \(\Sigma^n Y\) are homotopy equivalent.
Bruner, R. R. +2 more
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Some Non-Homeomorphic Harmonic Homotopy Equivalences
Bulletin of the London Mathematical Society, 1996Let \((M,g)\) be a compact Riemannian manifold of \(\dim M \geq 11\). Theorem: If \(g\) is either negatively curved or if \((M,g)\) is a flat torus, then there is a Riemannian metric \(h\) on \(M\) and a harmonic homotopy equivalence \(f : (M,h) \to (M,g)\); yet \(f\) is not a homeomorphism.
Farrell, F. T., Jones, L. E.
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On equivariant homotopy equivalences
Boletim da Sociedade Brasileira de Matemática, 1981A G-homotopy equivalence \(f: X\to Y\) with no G-homotopy inverse is called exotic and so X is called G-exotic homotopy Y. We remark in section 2 that the quasi-equivalences in the book by \textit{T. Petrie} and \textit{W. Iberkleid} [(*) Smooth \(S^ 1\)-manifolds, Lect. Notes Math. 557 (1978; Zbl 0345.57016), p.
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Extending local homotopy equivalences
Rendiconti del Circolo Matematico di Palermo, 1983The purpose of this paper is to give an elementary proof of the result of tom Dieck that a local homotopy equivalence f: \(X\to Y\) in a strong enough sense is a global homotopy equivalence [\textit{T. tom Dieck}, Compos. Math. 23, 159-167 (1971; Zbl 0212.558)]. Apart from technical details the present proof is the same as the one in tom Dieck's paper:
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