In topology, the term "spectrum" often refers to the spectrum of a topological space or a mathematical structure associated with it. Two commonly encountered contexts in which the term "spectrum" is used include algebraic topology and categorical topology. Here are some explanations of both contexts: 1. **Spectrum in Algebraic Topology**: In algebraic topology, the term "spectrum" can refer to a sequence of spaces or a generalized space arising in stable homotopy theory.
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A sequential model of a topological spectrum consists of based spaces and structure maps . Indexed models use finite-dimensional subspaces of a universe for spectra and structure maps . Different standard models present the same stable homotopy category.