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math.AT2018
Configuration space of intervals with partially summable labels
Shingo Okuyama, Kazuhisa Shimakawa
A configuration space of intervals in with partially summable labels is constructed. It is a kind of an extension of the configuration space with partially summable l…
math.AT2009
Interactions of strings and equivariant homology theories
Shingo Okuyama, Kazuhisa Shimakawa
We introduce the notion of the space of parallel strings with partially summable labels, which can be viewed as a geometrically constructed group completion of the space of particl…
math.AT2005★ 5 cited
The space of intervals in a Euclidean space
Shingo Okuyama
For a path-connected space X, a well-known theorem of Segal, May and Milgram asserts that the configuration space of finite points in R^n with labels in X is weakly homotopy equiva…