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Everything about Almost open map

Map that satisfies a condition similar to that of being an open map

In functional analysis and related areas of mathematics, an almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described below, for certain broad categories of topological vector spaces, all surjective linear operators are necessarily almost open. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Almost open mapA 5-minute orientation
  2. Skim a recent paper: On the Impact of the Soft Symmetric Power Functor SP n on Soft Almost-Open and Soft Pseudo-Open MappingsInfluential work since 2022
  3. Pick up a classic book: American FilmThe most-reprinted book on the subject
  4. Read the landmark paper: FUZZY r-REGULAR OPEN SETS AND FUZZY ALMOST r-CONTINUOUS MAPSCited 5 times
  5. Go sideways: Topological homomorphismA closely related topic
  6. Go sideways: Open mapping theorem (functional analysis)A closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Definitions
  2. Relationship to open maps

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics