second-countable space
topological space whose topology admits a countable base
| rdfs:label |
"second-countable space"@en
|
|
skos:alt |
"completely separable space"@en
"second axiom of countability"@en
|
| schema:description |
"topological space whose topology admits a countable base"@en
|
|
schema:date |
"2026-09-06T21:06:37+00:00"^^xsd:dateTime |
| schema:version | 2541315950 |
| wikibase:identifiers | 11 |
| wikibase:sitelinks | 12 |
| wikibase:statements | 22 |
| p:P10283 | wd:statement/Q1363919-4494921E-2184-449C-BA30-7985E9AC589E |
| p:P12888 | wd:statement/Q1363919-C18DE089-0D2F-4803-9E26-613B9CEA6D18 |
| p:P2534 | wd:statement/Q1363919-9053b0ed-4b7e-6847-c1e4-2a7fea57280b |
| p:P2581 | wd:statement/Q1363919-4FD149BD-9BE1-465D-882F-8BCD8FEC1D2F |
| p:P279 | wd:statement/Q1363919-2eb3e65b-439e-02e0-f7c3-756ad2787c15 |
| wd:statement/Q1363919-5d9f92b9-47f1-6c51-559f-fae7916cf4ac | |
| wd:statement/Q1363919-64b0dbb6-45d8-896d-59da-718cc1123a1f | |
| p:P2812 | wd:statement/Q1363919-AAE7688B-52AC-402A-8919-7D48B0060213 |
| wd:statement/Q1363919-B0205CCC-B2CD-42B4-A568-57B4B861A953 | |
| p:P4215 | wd:statement/Q1363919-1BBEC5F4-0EDA-4FDE-B378-FCDB953BD98D |
| p:P6104 | wd:statement/Q1363919-3AA3A501-C30B-401D-8E3B-D09E68FA17B1 |
| p:P6366 | wd:statement/Q1363919-3F629ED5-B984-434F-9A40-8A91461A9383 |
| p:P646 | wd:statement/Q1363919-B4E72AAE-AA87-4E1B-B620-759D59B3876B |
| p:P6781 | wd:statement/Q1363919-e670c1e8-4e5e-507a-103e-5e694d4bdf9a |
| p:P7235 | wd:statement/Q1363919-5545ce4f-495d-25f4-3784-3e0b6eca71f3 |
| wd:statement/Q1363919-70d7190b-4c77-d8df-4654-24c00ce506d9 | |
| wd:statement/Q1363919-78b5fe04-4ae6-b463-ea54-180dce209781 | |
| wd:statement/Q1363919-b5a19bf1-443e-058c-6e0e-b44d478e8537 | |
| wd:statement/Q1363919-b8a8a102-4596-988e-f193-139da1fa0a33 | |
| wd:statement/Q1363919-c3d92016-4f49-46d3-c511-f6fe65bb8de4 | |
| p:P7554 | wd:statement/Q1363919-1ceb256f-43ad-38de-ad26-2bd243208ef6 |
| p:P7726 | wd:statement/Q1363919-1e6de70a-4552-68e5-0721-e8a77dc2079c |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C162362422" |
| wdt:P12888 | "df-2ndc" |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∃</mi><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow><mo stretchy="false">⊂</mo><mi data-mjx-texclass="OP" mathvariant="normal">Open</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo><mo stretchy="false">:</mo><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow><mo stretchy="false">|</mo><mo stretchy="false">≤</mo><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">∧</mo><mi mathvariant="normal">∀</mi><mi>U</mi><mo stretchy="false">∈</mo><mi data-mjx-texclass="OP" mathvariant="normal">Open</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo><mi mathvariant="normal">∃</mi><mi>B</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow><mo stretchy="false">:</mo><mi>B</mi><mo stretchy="false">⊂</mo><mi>U</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2581 | "03793325n" |
| wdt:P279 | separable space |
| first-countable space | |
| Lindelöf space | |
| wdt:P2812 | "SecondCountableSpace" |
| "SecondCountableTopology" | |
| wdt:P4215 | "second-countable space" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "162362422" |
| wdt:P646 | "/m/03n7cy" |
| wdt:P6781 | "Definition:Second-Countable_Space" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi data-mjx-texclass="OP" mathvariant="normal">Open</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>U</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">∧</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">ℬ</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">ℵ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P7554 | "Second_axiom_of_countability" |
| wdt:P7726 | "SecondCountable" |
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