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math.AT2021
Homotopy and Homology at Infinity and at the Boundary
Mohammed Barhoush
In this paper we study the relationship between the homology and homotopy of a space at infinity and at its boundary. Firstly, we prove that if a locally connected, connected, -…
math.RT2021
On the Number of Representations for Simple Lie Groups
Mohammed Barhoush
The growth rate function counts the number of irreducible representations of simple complex Lie groups of dimension . While no explicit formula is known for this function,…