start-ver=1.4 cd-journal=joma no-vol=43 cd-vols= no-issue=1 article-no= start-page=43 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2001 dt-pub=200101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Configuration Spaces with Partially Summable Labels and Homology Theories en-subtitle= kn-subtitle= en-abstract= kn-abstract=

It is shown that any subset of a topological abelian monoid gives rise to a generalized homology theory that is closely related to the notion of labeled configuration space. Applications of the main theorem include generalizations of the classical Dold-Thom and the Barratt- Priddy-Quillen-Segal theorems.

en-copyright= kn-copyright= en-aut-name=ShimakawaKazuhisa en-aut-sei=Shimakawa en-aut-mei=Kazuhisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Okayama University END