"pseudocompact" meaning in All languages combined

See pseudocompact on Wiktionary

Adjective [English]

Audio: LL-Q1860 (eng)-Flame, not lame-pseudocompact.wav
Etymology: From pseudo- + compact. Etymology templates: {{prefix|en|pseudo|compact}} pseudo- + compact Head templates: {{en-adj|-}} pseudocompact (not comparable)
  1. (mathematics, of a space) having a bounded image Wikipedia link: en:pseudocompact space Tags: not-comparable Categories (topical): Mathematics
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          "ref": "2015, Oleg Gutik, Oleksandr Ravsky, “Pseudocompactness, products and topological Brandt λ⁰-extensions of semitopological monoids”, in arXiv:",
          "text": "In particular we show that if #x5C;big#x5C;#x7B;#x5C;big(B⁰#x5F;#x7B;#x5C;lambda#x5F;i#x7D;(S#x5F;i),#x5C;tau⁰#x5F;#x7B;B(S#x5F;i)#x7D;#x5C;big)#x5C;coloni#x5C;in#x5C;mathcal#x7B;I#x7D;#x5C;big#x5C;#x7D; is a family of Hausdorff pseudocompact to\\-pological Brandt #x5C;lambda#x5F;i⁰-extensions of pseudocompact semitopological monoids with zero such that the Tychonoff product #x5C;prod#x5C;left#x5C;#x7B;S#x5F;i#x5C;coloni#x5C;in#x5C;mathcal#x7B;I#x7D;#x5C;right#x5C;#x7D; is a pseudocompact space then the direct product #x5C;prod#x5C;big#x5C;#x7B;#x5C;big(B⁰#x5F;#x7B;#x5C;lambda#x5F;i#x7D;(S#x5F;i),#x5C;tau⁰#x5F;#x7B;B(S#x5F;i)#x7D;#x5C;big)#x5C;coloni#x5C;in#x5C;mathcal#x7B;I#x7D;#x5C;big#x5C;#x7D; endowed with the Tychonoff topology is a Hausdorff pseudocompact semitopological semigroup..",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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