algebraic topology, a symmetric spectrum X is a spectrum of pointed simplicial sets that comes with an action of the symmetric group Σ n {\displaystyle...

definitions, see symmetric spectrum and simplicial spectrum. One of the most important invariants of spectra are the homotopy groups of the spectrum. These groups...

A^{**}\subseteq A^{*}} for symmetric operators and A = A ∗ ∗ ⊆ A ∗ {\displaystyle A=A^{**}\subseteq A^{*}} for closed symmetric operators. The densely defined...

curvature −1) is a locally symmetric space but not a symmetric space. Every lens space is locally symmetric but not symmetric, with the exception of L (...

silicon and germanium, the decay of the anti-symmetric stretch mode of interstitial oxygen involves the symmetric stretch mode with a strong isotope dependence...

rotational angular momentum. For nonlinear molecules which are symmetric rotors (or symmetric tops - see next section), there are two moments of inertia and...

now defined to be a (commutative) monoid in symmetric spectra, called a (commutative) symmetric ring spectrum. This boils down to giving maps X n ∧ X m...

water. The absorption in the gas phase occurs in three regions of the spectrum. Rotational transitions are responsible for absorption in the microwave...

term "commutative ring spectrum" may be used as a synonymous to an E ∞ {\displaystyle E_{\infty }} -ring spectrum. symmetric monoidal with respect to...

negative skewed spectrum has its peak on the right side with respect to the spectrum mean. A value around zero indicates a symmetric spectrum. In this way...