Stable maps between classifying spaces

Author(s):  
J. P. May
Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 215
Author(s):  
Catarina Mendes de Jesus S. ◽  
Pantaleón D. Romero

In this paper, we will consider the problem of constructing stable maps between two closed orientable surfaces M and N with a given branch set of curves immersed on N. We will study, from a global point of view, the behavior of its families in different isotopies classes on the space of smooth maps. The main goal is to obtain different relationships between invariants. We will provide a new proof of Quine’s Theorem.


2018 ◽  
Vol 12 (3) ◽  
pp. 1005-1060 ◽  
Author(s):  
Damian Osajda ◽  
Tomasz Prytuła
Keyword(s):  

1988 ◽  
Vol 103 (3) ◽  
pp. 427-449 ◽  
Author(s):  
John C. Harris ◽  
Nicholas J. Kuhn

LetBGbe the classifying space of a finite groupG. Consider the problem of finding astabledecompositionintoindecomposablewedge summands. Such a decomposition naturally splitsE*(BG), whereE* is any cohomology theory.


2008 ◽  
Vol 58 (11) ◽  
pp. 1591-1606 ◽  
Author(s):  
Claus Hertling ◽  
Christian Sevenheck
Keyword(s):  

2011 ◽  
Vol 133 (5) ◽  
pp. 1389-1419 ◽  
Author(s):  
Dawei Chen ◽  
Izzet Coskun
Keyword(s):  

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