scholarly journals Classification of rational homotopy type for 10-cohomological dimension elliptic spaces

Mathematica ◽  
2020 ◽  
Vol 62 (85) (1) ◽  
pp. 16-32
Author(s):  
Saloua Chouingou ◽  
◽  
Mohamed Rachid Hilali ◽  
Keyword(s):  
Homotopy Type ◽  
Cohomological Dimension ◽  
Rational Homotopy ◽  
Rational Homotopy Type ◽  
Elliptic Spaces

The rational homotopy type of elliptic spaces up to cohomological dimension 8

2015 ◽  
Vol 27 (5-6) ◽  
pp. 851-864
Author(s):  
Mohamed Rachid Hilali ◽  
My Ismail Mamouni ◽  
Hicham Yamoul
Keyword(s):  
Homotopy Type ◽  
Cohomological Dimension ◽  
Rational Homotopy ◽  
Rational Homotopy Type ◽  
Elliptic Spaces

ON THE RATIONAL HOMOTOPY TYPE WHEN THE COHOMOLOGICAL DIMENSION IS 9

2015 ◽  
Vol 17 (2) ◽  
pp. 157-172
Author(s):  
Mohamed Rachid Hilali ◽  
My Ismail Mamouni ◽  
Jawad Tarik
Keyword(s):  
Homotopy Type ◽  
Cohomological Dimension ◽  
Rational Homotopy ◽  
Rational Homotopy Type

Rational Classification of Simple Function Space Components for Flag Manifolds

1997 ◽  
Vol 49 (4) ◽  
pp. 855-864 ◽  
Author(s):  
Samuel Bruce Smith
Keyword(s):  
Function Space ◽  
Homotopy Type ◽  
Continuous Functions ◽  
Simple Function ◽  
Flag Manifolds ◽  
Rational Homotopy ◽  
Path Component ◽  
Rational Homotopy Type ◽  
Rational Classification

AbstractLetM(X, Y) denote the space of all continuous functions between X and Y and Mƒ(X, Y) the path component corresponding to a given map ƒ : X → Y. When X and Y are classical flag manifolds, we prove the components of M(X, Y) corresponding to “simple” maps ƒ are classified up to rational homotopy type by the dimension of the kernel of ƒ in degree two cohomology. In fact, these components are themselves all products of flag manifolds and odd spheres.

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