The Singular Homology of the Hawaiian Earring

2000 ◽  
Vol 62 (1) ◽  
pp. 305-310 ◽  
Author(s):  
Katsuya Eda ◽  
Kazuhiro Kawamura
Keyword(s):  
Singular Homology ◽  
Hawaiian Earring

Embeddings of locally compact abelian p-groups in Hawaiian groups

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yanga Bavuma ◽  
Francesco G. Russo
Keyword(s):  
Algebraic Topology ◽  
Geometric Interpretation ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Locally Compact Abelian Groups ◽  
Compact Abelian Groups ◽  
Hawaiian Earring ◽  
Path Connected

Abstract We show that locally compact abelian p-groups can be embedded in the first Hawaiian group on a compact path connected subspace of the Euclidean space of dimension four. This result gives a new geometric interpretation for the classification of locally compact abelian groups which are rich in commuting closed subgroups. It is then possible to introduce the idea of an algebraic topology for topologically modular locally compact groups via the geometry of the Hawaiian earring. Among other things, we find applications for locally compact groups which are just noncompact.

scholarly journals Functorial seminorms on singular homology and (in)flexible manifolds

2015 ◽  
Vol 15 (3) ◽  
pp. 1453-1499 ◽  
Author(s):  
Diarmuid Crowley ◽  
Clara Löh
Keyword(s):  
Singular Homology

scholarly journals An example of anomalous singular homology

1962 ◽  
Vol 13 (2) ◽  
pp. 293-293 ◽  
Author(s):  
M. G. Barratt ◽  
John Milnor
Keyword(s):  
Singular Homology
Sign in / Sign up

Export Citation Format

Share Document