On the problem of equivariant homotopic classification

1995 ◽  
Vol 65 (6) ◽  
pp. 546-552 ◽  
Author(s):  
Zalman Balanov ◽  
Alexander Kushkuley
Keyword(s):  
Homotopic Classification

scholarly journals On Homotopic Classification of Elliptic Problems with Contractions and K-Groups of Corresponding C∗-Algebras

2018 ◽  
Vol 64 (1) ◽  
pp. 164-179
Author(s):  
A Yu Savin
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Problems ◽  
Nonlocal Problems ◽  
Boundary Problems ◽  
C Algebras ◽  
Codimension One ◽  
Homotopic Classification

We consider calculation of a group of stable homotopic classes for pseudodifferential elliptic boundary problems. We study this problem in terms of topological K-groups of some spaces in the following cases: for boundary-value problems on manifolds with boundaries, for conjugation problems with conditions on a closed submanifold of codimension one, and for nonlocal problems with contractions.

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