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- Order topology (redirect from Ordinal space)Boolean algebra.[clarification needed] For any ordinal number λ one can consider the spaces of ordinal numbers [ 0 , λ ) = { α ∣ α < λ } {\displaystyle...15 KB (2,107 words) - 20:11, 16 July 2024
- In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, nth, etc.) aimed to extend enumeration to infinite...47 KB (6,717 words) - 10:52, 24 July 2024
- compact, first-countable spaces that are not compact (these are necessarily not metrizable spaces). One such space is the ordinal space [ 0 , ω 1 ) . {\displaystyle...5 KB (835 words) - 19:17, 15 March 2024
- In linguistics, ordinal numerals or ordinal number words are words representing position or rank in a sequential order; the order may be of size, importance...7 KB (674 words) - 01:29, 6 August 2024
- Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are...20 KB (2,706 words) - 02:19, 3 April 2024
- uncountable ordinal, traditionally denoted by ω 1 {\displaystyle \omega _{1}} or sometimes by Ω {\displaystyle \Omega } , is the smallest ordinal number that...4 KB (566 words) - 20:31, 11 March 2024
- Hilbert space Fréchet space Hilbert cube Order topology Open ordinal space [0,Γ) where Γ<Ω Closed ordinal space [0,Γ] where Γ<Ω Open ordinal space [0,Ω)...10 KB (1,075 words) - 14:22, 18 April 2024
- Tychonoff plank (category Topological spaces)In topology, the Tychonoff plank is a topological space defined using ordinal spaces that is a counterexample to several plausible-sounding conjectures...2 KB (266 words) - 22:19, 15 October 2023
- G_{\delta \sigma }.} to the first uncountable ordinal. To prove this claim, any open set in a metric space is the union of an increasing sequence of closed...13 KB (1,793 words) - 02:48, 4 June 2024
- In proof theory, ordinal analysis assigns ordinals (often large countable ordinals) to mathematical theories as a measure of their strength. If theories...50 KB (4,795 words) - 18:56, 19 July 2024
- Level of measurement (redirect from Ordinal measurement)best-known classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio. This framework of distinguishing levels of measurement...38 KB (4,668 words) - 01:28, 18 July 2024
- a compactly generated space are not compactly generated in general, even in the Hausdorff case. For example, the ordinal space ω 1 + 1 = [ 0 , ω 1 ] {\displaystyle...30 KB (4,668 words) - 23:23, 28 July 2024
- Sword Art Online the Movie: Ordinal Scale (Japanese: 劇場版 ソードアート・オンライン -オーディナル・スケール-, Hepburn: Gekijō-ban Sōdo Āto Onrain -Ōdinaru Sukēru-) is a 2017 Japanese...31 KB (3,076 words) - 14:20, 6 August 2024
- Cardinal direction (redirect from Ordinal direction)south, and west are at 90 degree intervals in the clockwise direction. The ordinal directions (also called the intercardinal directions) are northeast (NE)...27 KB (2,938 words) - 03:08, 5 July 2024
- by ωω (not to be confused with the countable ordinal obtained by ordinal exponentiation). The Baire space is defined to be the Cartesian product of countably...13 KB (2,034 words) - 07:04, 7 August 2024
- The number of the rank in question was indicated by ordinal numbers, in abbreviation with the ordinal indicator (a superscript o). Use of "degree" specifically...17 KB (1,922 words) - 05:56, 30 July 2024
- "too long" (indexed by too large an ordinal) to compress into a sequence. Sequential spaces are those topological spaces for which nets of countable length...28 KB (3,860 words) - 03:53, 29 July 2024
- Well-order (category Ordinal numbers)to find the ordinal number of a particular object, or to find the object with a particular ordinal number, corresponds to assigning ordinal numbers one...12 KB (1,882 words) - 01:42, 10 June 2024
- subsequence. If a space is a metric space, then it is sequentially compact if and only if it is compact. The first uncountable ordinal with the order topology...3 KB (431 words) - 23:36, 12 February 2024
- {\Bigr \}},} where α {\displaystyle \alpha } is an ordinal and λ {\displaystyle \lambda } is a limit ordinal. The cardinal ℶ 0 = ℵ 0 {\displaystyle \beth _{0}=\aleph...13 KB (2,227 words) - 02:51, 19 June 2024
- 18341834Frederick Ludlow Port Augusta June Script error: The function "ordinal" does not exist., 1834—for Swan River. Made Chapman RiverBrook on the same
- Mathematics (1903) Vol. 1 p.248 Mathematical induction, which is purely ordinal... may be stated as follows: A series generated by a one-one relation,
- see, when Turkish ordinal numbers are written out fully, they're just cardinal numbers with extra endings. This is true of all ordinal numbers after 10th