scholarly journals Proper Homotopy Classification of Graphs

1990 ◽  
Vol 22 (5) ◽  
pp. 417-421 ◽  
Author(s):  
R. Ayala ◽  
E. Dominguez ◽  
A. Marquez ◽  
A. Quintero
Keyword(s):  
Homotopy Classification ◽  
Proper Homotopy ◽  
Classification Of Graphs

scholarly journals Homotopy classification of elliptic operators on stratified manifolds

2006 ◽  
Vol 73 (3) ◽  
pp. 407-411 ◽  
Author(s):  
V. E. Nazaikinskii ◽  
A. Yu. Savin ◽  
B. Yu. Sternin
Keyword(s):  
Elliptic Operators ◽  
Homotopy Classification

On Graded Categorical Groups and Equivariant Group Extensions

2002 ◽  
Vol 54 (5) ◽  
pp. 970-997 ◽  
Author(s):  
A. M. Cegarra ◽  
J. M. Garćia-Calcines ◽  
J. A. Ortega
Keyword(s):  
Group Cohomology ◽  
Group Extension ◽  
Extension Problem ◽  
Homotopy Classification ◽  
Group Extensions ◽  
Categorical Groups

AbstractIn this article we state and prove precise theorems on the homotopy classification of graded categorical groups and their homomorphisms. The results use equivariant group cohomology, and they are applied to show a treatment of the general equivariant group extension problem.

scholarly journals Stable homotopy classification of BGp̌

Topology ◽  
1995 ◽  
Vol 34 (3) ◽  
pp. 633-649 ◽  
Author(s):  
John Martino ◽  
Stewart Priddy
Keyword(s):  
Stable Homotopy ◽  
Homotopy Classification

Unstable homotopy classification of

1996 ◽  
Vol 119 (1) ◽  
pp. 119-137 ◽  
Author(s):  
John Martino ◽  
Stewart Priddy
Keyword(s):  
Lie Group ◽  
Compact Lie Group ◽  
Classifying Space ◽  
Homotopy Classification ◽  
Completion Process

For nilpotent spaces p-completion is well behaved and reasonably well understood. By p–completion we mean Bousfield–Kan completion with respect to the field Fp [BK]. For non-nilpotent spaces the completion process often has a chaotic effect, this is true even for small spaces. One knows, however, that the classifying space of a compact Lie group is Fp-good even though it is usually non-nilpotent.

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