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Everything about Absorbing set

Set that can be "inflated" to reach any point

In functional analysis and related areas of mathematics an absorbing set in a vector space is a set which can be "inflated" or "scaled up" to eventually always include any given point of the vector space. Alternative terms are radial or absorbent set. Every neighborhood of the origin in every topological vector space is an absorbing subset. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Absorbing setA 5-minute orientation
  2. Skim a recent paper: Trapping and Absorbing Set Enumerators for Irregular Generalized Low-Density Parity-Check Code EnsemblesInfluential work since 2022
  3. Pick up a classic book: I'll Be Seeing YouThe most-reprinted book on the subject
  4. Read the landmark paper: Global stabilisation of nonlinear delay systems with a compact absorbing setCited 43 times
  5. Go sideways: Balanced setA closely related topic
  6. Go sideways: Bounded set (topological vector space)A closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

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