On multiplicative automatic sequences
نویسندگان
چکیده
منابع مشابه
Multiplicative Structures on Homotopy Spectral Sequences Ii
This short paper is a companion to [D1]. Here the main results of that paper are used to establish multiplicative structures on a few standard spectral sequences. The applications consist of (a) applying [D1, Theorem 6.1] to obtain a pairing of spectral sequences, and (b) identifying the pairing on the E1or E2-term with something familiar, like a pairing of singular cohomology groups. Most of t...
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For Fr$acute{mathbf{text{e}}}$chet algebras $(A, (p_n))$ and $(B, (q_n))$, a linear map $T:Arightarrow B$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(Tab - Ta Tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{N}$, $a, b in A$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$...
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A tower of homotopy fiber sequences gives rise to a spectral sequence on homotopy groups. In modern times such towers are ubiquitous, and most of the familiar spectral sequences in topology can be constructed in this way. A pairing of towers W∗ ∧X∗ → Y∗ consists of maps Wm ∧Xn → Ym+n which commute (on-the-nose) with the maps in the towers. It is a piece of folklore that a pairing of towers give...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2020
ISSN: 0024-6093,1469-2120
DOI: 10.1112/blms.12317