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      A topological equivalence relation for finitely presented groups 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Roy, R. (ScienceDirect, 2020-01-07)
      In this paper, we consider an equivalence relation within the class of finitely presented discrete groups attending to ...
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      Amalgamated products and properly 3-realizable groups 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Elsevier, 2007-01)
      In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and ...
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      Groups which are not properly 3-realizable 

      Funar, Louis; Fernández Lasheras, Francisco Jesús; Repovš, Dušan (European Mathematical Society, 2012)
      A group is properly 3-realizable if it is the fundamental group of a compact polyhedron whose universal covering is proper ...
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      Lifting Semistability in Finitely Generated Ascending HNN-Extensions 

      Fernández Lasheras, Francisco Jesús; Mihalik, Michael (Association des Annales de l'Institut Fourier, 2023-07-03)
      If a finitely generated group G maps epimorphically onto a group H, we are interested in the question: When does the ...
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      Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (Belgian Mathematical Society, 2002-09)
      Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of ...
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      On manifolds with nonhomogeneous factors 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (Springer, 2012-06)
      We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) ...
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      One-relator groups and proper 3-realizability 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Repovš, Dušan (European Mathematical Society, 2009)
      How different is the universal cover of a given finite 2-complex from a 3-manifold (from the proper homotopy viewpoint)? ...
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      Proper 2–equivalences between infinite ended finitely presented groups 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Ranja, R. (Mathematical Sciences Publishers, 2023-03-27)
      Recall that two finitely presented groups G and H are “proper 2–equivalent” if they can be realized by finite 2–dimensional ...
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      Quasi-isometries and proper homotopy: The quasi-isometry invariance of proper 3-realizability of groups 

      Cardenas Escudero, Manuel; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael; Roy, R. (American Mathematical Society, 2019-04-01)
      We recall that a finitely presented group G is properly 3-realizable if for some finite 2-dimensional CW-complex X with ...
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      Relating the Freiheitssatz to the asymptotic behavior of a group 

      Fernández Lasheras, Francisco Jesús; Roy, Ranja (European Mathematical Society, 2013)
      We are concerned with the implications of the Freiheitssatz property for certain group presentations in terms of proper ...
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      The equivariant category of proper G-Spaces 

      Ayala Gómez, Rafael; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (Rocky Mountain Mathematics Consortium, 2001)
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      Weak- Z-Structures and one-relator groups 

      Cárdenas Escudero, Manuel Enrique; Fernández Lasheras, Francisco Jesús; Quintero Toscano, Antonio Rafael (ScienceDirect, 2022-07-22)
      Motivated by the notion of boundary for hyperbolic and groups, Bestvina [2] introduced the notion of a (weak) -structure ...