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Finiteness properties of automorphism spaces of manifolds with finite fundamental group. [PDF]
Math AnnBustamante M, Krannich M, Kupers A.
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Epimorphism plus monomorphism implies equivalence in the homotopy category
Journal of Pure and Applied Algebra, 1975 openaire +2 more sources
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Applied Categorical Structures, 1997
The concept of monomorphism in a category can be defined using an appropriate pullback diagram. But in the homotopy category of \({\mathcal T} {\mathcal O} {\mathcal P}\) pullbacks do not generally exist. Then \textit{M. Mather} [Can. J. Math. 28, 225-263 (1976; Zbl 0351.55005)] introduced another notion of homotopy pullbacks which do exist.
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The concept of monomorphism in a category can be defined using an appropriate pullback diagram. But in the homotopy category of \({\mathcal T} {\mathcal O} {\mathcal P}\) pullbacks do not generally exist. Then \textit{M. Mather} [Can. J. Math. 28, 225-263 (1976; Zbl 0351.55005)] introduced another notion of homotopy pullbacks which do exist.
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Monomorphisms and epimorphisms in homotopy theory
Israel Journal of Mathematics, 1983The author improves the results in his paper with \textit{P. Hilton} [see the preceding review] on Hopfian and co-Hopfian objects in the pointed homotopy category \({\mathcal K}\) of path-connected CW-spaces by replacing finiteness conditions on homology by Hopficity conditions. Furthermore the question is studied of when a morphism \(f: X\to Y\) in \({
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Between Homotopy Monomorphism and Having a Left Homotopy Inverse
Proceedings of the London Mathematical Society, 1984openaire +1 more source
Homotopy Transfer and Effective Field Theory I: Tree‐level
Fortschritte Der Physik, 2022Alex S Arvanitakis, Olaf Hohm
exaly
Homotopy perturbation technique
Computer Methods in Applied Mechanics and Engineering, 1999Ji-Huan He
exaly
A coupling method of a homotopy technique and a perturbation technique for non-linear problems
International Journal of Non-Linear Mechanics, 2000Ji-Huan He
exaly
Comparison of homotopy perturbation method and homotopy analysis method
Applied Mathematics and Computation, 2004Ji-Huan He
exaly