Fredholm complexes in Banach spaces

1981 ◽  
Vol 14 (4) ◽  
pp. 322-323
Author(s):  
A. S. Fainshtein ◽  
V. S. Shul'man

1989 ◽  
Vol 31 (1) ◽  
pp. 73-85 ◽  
Author(s):  
F.-H. Vasilescu

The aim of this work is to present a new approach to the concept of essential Fredholm complex of Banach spaces ([10], [2]; see also [11], [4], [6], [7] etc. for further connections), by using non-linear homogeneous mappings. We obtain some generalized homotopic properties of the class of essential Fredholm complexes, in our sense, which are then applied to establish its relationship with similar concepts. We also prove the stability of this class under small perturbations with respect to the gap topology.



Author(s):  
Anthony Francis Ruston








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