On the surjectivity of the tmf–Hurewicz image of A1
    
    
  
  
  
      
      
      
        
Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 217-241
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
Let A1 be any spectrum in the class of finite spectra whose mod 2 cohomology is isomorphic to 𝒜(1) as a module over the subalgebra 𝒜(1) of the Steenrod algebra; let tmf be the connective spectrum of topological modular forms. We prove that the tmf–Hurewicz image of A1 is surjective.
                  
                    
                    
                    
                    
                    
                      
Keywords: 
                K(2)-local homotopy theory, finite spectra, topological
                modular forms, Hurewicz image
              
                    
                  
                
                
                
                
                
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              Pham, Viet-Cuong 1
@article{10_2140_agt_2023_23_217,
     author = {Pham, Viet-Cuong},
     title = {On the surjectivity of the {tmf{\textendash}Hurewicz} image of {A1}},
     journal = {Algebraic and Geometric Topology},
     pages = {217--241},
     publisher = {mathdoc},
     volume = {23},
     number = {1},
     year = {2023},
     doi = {10.2140/agt.2023.23.217},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.217/}
}
                      
                      
                    TY - JOUR AU - Pham, Viet-Cuong TI - On the surjectivity of the tmf–Hurewicz image of A1 JO - Algebraic and Geometric Topology PY - 2023 SP - 217 EP - 241 VL - 23 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.217/ DO - 10.2140/agt.2023.23.217 ID - 10_2140_agt_2023_23_217 ER -
Pham, Viet-Cuong. On the surjectivity of the tmf–Hurewicz image of A1. Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 217-241. doi: 10.2140/agt.2023.23.217
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