elliptic spaces
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Mathematica ◽  
2020 ◽  
Vol 62 (85) (1) ◽  
pp. 16-32
Author(s):  
Saloua Chouingou ◽  
◽  
Mohamed Rachid Hilali ◽  

Author(s):  
Abdelhadi Zaim ◽  
Saloua Chouingou ◽  
Mohamed Anas Hilali

Let F⟶E⟶pB be a fibration of simply connected elliptic spaces. Our paper investigates the conjecture proposed by T. Yamaguchi and S. Yokura, states that dim Ker π∗pℚ≤ dim Ker H∗p;ℚ+1. Our goal is to prove this conjecture when F and B satisfy the condition πevenFℚ=πevenBℚ=0. We go also on to establish a well-known conjecture of Hilali for a class of spaces which puts it into the context of fibration.


2019 ◽  
Vol 7 (1) ◽  
pp. 212-249 ◽  
Author(s):  
Pekka Pankka ◽  
Elefterios Soultanis

Abstract Using the duality of metric currents and polylipschitz forms, we show that a BLD-mapping f : X → Y between oriented cohomology manifolds X and Y induces a pull-back operator f* : Mk,loc(Y) → Mk,loc(X) between the spaces of metric k-currents of locally finite mass. For proper maps, the pull-back is a right-inverse (up to multiplicity) of the push-forward f* : Mk,loc(X) → Mk,loc(Y). As an application we obtain a non-smooth version of the cohomological boundedness theorem of Bonk and Heinonen for locally Lipschitz contractible cohomology n-manifolds X admitting a BLD-mapping ℝn → X.


2015 ◽  
Vol 27 (5-6) ◽  
pp. 851-864
Author(s):  
Mohamed Rachid Hilali ◽  
My Ismail Mamouni ◽  
Hicham Yamoul

2015 ◽  
Vol 110 (5) ◽  
pp. 1135-1156 ◽  
Author(s):  
Urtzi Buijs ◽  
Yves Félix ◽  
Sergio Huerta ◽  
Aniceto Murillo

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