英和和英

名詞

loopspace (複数形 loopspaces)

1. (数学) A function space of continuous functions that map from the unit interval to a space from x₀ to x₁, all of which map 0 to x₀ and 1 to x₁.
   • 2016, Jesse C. McKeown, “Complex Cobordism vs. Representing Formal Group Laws”, in arXiv^[1]:

     Ravenel's: "Infinite loopspace theorists, where are you?", or more prosaically: Can one start from the notion of Ring Spectrum Representing [Formal Group Laws] (the functor) and arrive at Complex Cobordism? Our answer is a tentative "sort-of"..