@article{Lee2022, 
author = {Dae-Woong Lee},
title = {Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {6},
pages = {2033-2053},
keywords = {localization, comultiplication, Moore space, Whitehead product, Hilton-Milnor formula},
url = {https://www.sciopen.com/article/10.3934/era.2022103},
doi = {10.3934/era.2022103},
abstract = {For an abelian group    G and a positive integer    n, we set    M  (  G  ,  n  ) as a Moore space of type    (  G  ,  n  ). In this paper, for a prime number    p, we are interested in the structure of homotopy comultiplications on the localization        L          (      p      )       of a wedge    L  :=            S        m    ∨  M  (  G  ,  n  ) of the homotopy spheres and the Moore spaces for    2  ≤  m  <  n. We also provide a list of examples to examine the phenomena of homotopy comultiplications on        L          (      p      )      .}
}