boundary

dividing line between two areas or sets of points in a topological space; difference between the closure and the interior
rdfs:label
"boundary"@en
skos:altLabel
"boundary of a set"@en
"frontier"@en
"geometric boundary"@en
"topological boundary"@en
schema:description
"dividing line between two areas or sets of points in a topological space; difference between the closure and the interior"@en
schema:dateModified "2026-10-05T21:46:06+00:00"^^xsd:dateTime
schema:version 2553638000
wikibase:identifiers 9
wikibase:sitelinks 30
wikibase:statements 27
p:P1014 wd:statement/Q875399-07e05817-468b-55f4-353c-da6e103c4fa3
p:P10283 wd:statement/Q875399-0946D5E7-C937-4F64-B002-CEEA54F4E1DB
p:P11473 wd:statement/Q875399-9accd816-4f96-97f7-f1f3-3580398b5aac
p:P1269 wd:statement/Q875399-99aea05a-4f69-fbf5-2e7e-a800cfe4e6ee
p:P13772 wd:statement/Q875399-B8897C45-3BA9-42BD-870F-210FD1153642
p:P1687 wd:statement/Q875399-9446838f-4a5b-9797-54e1-c215e9bd0af8
p:P18 wd:statement/Q875399-8599cf8d-43f8-6a43-1cc2-ca18d9f8ffb0
p:P1889 wd:statement/Q875399-1723073c-4aaa-98dc-ebd7-b7cda0eab0e7
wd:statement/Q875399-ac18c62b-4678-0edd-90fa-2116c0c119d1
wd:statement/Q875399-c6d099da-492c-cbbf-9631-af6cffd25fa2
wd:statement/Q875399-ec0b0338-4a97-04e7-a445-8840347473c5
wd:statement/Q875399-f80639c9-474b-5405-a00b-e352390e9c41
p:P2534 wd:statement/Q875399-031619d9-4752-05b5-9a29-2ac95edc3b1e
p:P2670 wd:statement/Q875399-d11aa813-45d7-652d-6ecc-6762a05edc19
p:P279 wd:statement/Q875399-4c60effa-4ddc-b267-29a1-ff3ca1ed664f
wd:statement/Q875399-5e2fe9fe-4279-812a-9232-db649b4762a6
p:P2812 wd:statement/Q875399-131feab8-48ad-840c-195c-fcd01717c719
p:P31 wd:statement/Q875399-a10b98e9-40f2-51b3-631c-4cd170d9276b
p:P361 wd:statement/Q875399-bbb2d464-4c77-7e06-2763-8963d703d60e
p:P373 wd:statement/Q875399-729eb130-4b4c-a5f6-be9b-f8d937182af8
p:P3827 wd:statement/Q875399-E287532B-AC23-45C4-BD42-F67F171A55FC
p:P6104 wd:statement/Q875399-C7887DBF-D0EF-43AD-B40A-F5304CC27ACE
p:P6366 wd:statement/Q875399-A7B350AD-1AE8-4497-A3AE-60A5D9B7EDEA
p:P646 wd:statement/Q875399-73631B25-F759-4385-A18B-9DD5FCDCFA36
p:P7235 wd:statement/Q875399-66545c12-436e-c3b7-4c5e-bb0ef23a8ae9
p:P8590 wd:statement/Q875399-4240ED13-E97E-4F38-A77E-20C9D42B81A9
p:P913 wd:statement/Q875399-1dfdf9de-4528-97b5-04f0-ef9b1844239c
p:direct-normalized/P1014 aat:300055590
p:direct-normalized/P11473 <https://concepticon.clld.org/parameters/1010>
p:direct-normalized/P6366 <https://makg.org/entity/62354387>
wdt:P1014 "300055590"
wdt:P10283 "C62354387"
wdt:P11473 "1010"
wdt:P1269 topology
wdt:P13772 "boundaries"
wdt:P1687 has boundary
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Runge%20theorem.svg>
wdt:P1889 spatial boundary
border
partial derivative
perimeter
boundary
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>&#x2202;</mi><mi>S</mi><mo stretchy="false">=</mo><mi data-mjx-texclass="OP" mathvariant="normal">cl</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>S</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x2216;</mo><mi data-mjx-texclass="OP" mathvariant="normal">int</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>S</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2670 boundary point
wdt:P279 closed set
line
wdt:P2812 "Boundary"
wdt:P31 topological property
wdt:P361 closure
wdt:P373 "Boundaries (math)"
wdt:P3827 "boundary-points"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "62354387"
wdt:P646 "/m/0jlzb"
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>&#x2202;</mi><mi>S</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P8590 "3603"
wdt:P913 partial derivative symbol
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