MediaWiki API result

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            {
                "logid": 25,
                "ns": 0,
                "title": "Topological space",
                "pageid": 22,
                "logpage": 22,
                "revid": 34,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T14:53:22Z",
                "comment": "Created page with \"A '''topological space''' is a fundamental mathematical structure that generalizes the concept of geometrical spaces and [[continuity]]. A topological space is equipped with a collection of [[open sets]], capturing the intuitive idea of \"nearness\" without necessarily defining a [[metric]]. Topological spaces are the objects of study in [[general topology]].  == Definition == An [[ordered pair]] <math>(X, \\tau)</math> is a topological space on set <math>X</math>, if <math...\""
            },
            {
                "logid": 24,
                "ns": 0,
                "title": "Homotopy",
                "pageid": 21,
                "logpage": 21,
                "revid": 33,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T13:21:31Z",
                "comment": "Created page with \"A '''homotopy''' is a continuous deformation between two [[Continuous function|continuous functions]] from one [[topological space]] to another. Specifically, a homotopy between two functions is a continuous map that, for each point in the domain, provides a path from its image under the first function to its image under the second. If such a function exists between two functions, they are said to be homotopic.  Intuitively, a homotopy is the continuous transformation of...\""
            },
            {
                "logid": 23,
                "ns": 0,
                "title": "Hausdorffness",
                "pageid": 20,
                "logpage": 20,
                "revid": 32,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T13:20:43Z",
                "comment": "Created page with \"A '''Hausdorff space''' (or '''<math>T_2</math> space''') is a type of [[topological space]] in which points can be \"cleanly separated\" by neighborhoods. Specifically, for any two distinct points, there exist disjoint [[Open set|open sets]] containing each point. Consequently, Hausdorff property ensures that limits of sequences are unique when they exist.  == Definitions == A topological space <math>(X,\\tau)</math> is Hausdorff, if for any two points <math>x,y\\in X</math...\""
            },
            {
                "logid": 22,
                "ns": 0,
                "title": "Equivalence relation",
                "pageid": 19,
                "logpage": 19,
                "revid": 31,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T13:19:58Z",
                "comment": "Created page with \"An '''equivalence relation''' is a [[binary relation]] on a [[set]] that groups elements into categories<ref>Not to be confused with [[category]] in [[category theory]].</ref> in which all members are considered \"equivalent\" under some criterion.  == Definition == A [[relation]] <math>\\sim</math> on set <math>X</math> is a equivalence relation if it satisfies the following properties:  * '''Reflexivity''': <math>\\forall x\\in X</math>, <math>x\\sim x</math>. * '''Symmetry'...\""
            },
            {
                "logid": 21,
                "ns": 0,
                "title": "Compactness",
                "pageid": 18,
                "logpage": 18,
                "revid": 30,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T12:58:20Z",
                "comment": "Created page with \"A '''compact''' [[topological space]] is one that behaves, in many respects, like a finite space, even if it is infinite. Specifically, a compact space is a topological space whose every open cover admits a finite subcover. Compactness is one of the most fundamental [[Topological property|topological properties]] in [[analysis]] and [[topology]].  Intuitively, compactness can be understood as a generalization of being \"[[Closed set|closed]] and [[Boundedness|bounded]]\"....\""
            },
            {
                "logid": 20,
                "ns": 0,
                "title": "Category of topological spaces",
                "pageid": 17,
                "logpage": 17,
                "revid": 29,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T12:57:06Z",
                "comment": "Created page with \"The '''category of topological spaces''', denoted <math>\\mathsf{Top}</math> or <math>\\mathbf{Top}</math>, is the [[category]] whose objects are [[Topological space|topological spaces]] and whose [[Morphism|morphisms]] are [[Continuous function|continuous functions]].  == Definition == The category <math>\\mathsf{Top}</math> consists of:  * <math>\\operatorname{ob}(\\mathsf{Top})</math> consists of all topological spaces, * <math>\\operatorname{mor}(\\mathsf{Top})</math> consi...\""
            },
            {
                "logid": 19,
                "ns": 0,
                "title": "Homeomorphism",
                "pageid": 16,
                "logpage": 16,
                "revid": 28,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T12:42:52Z",
                "comment": "Created page with \"[[File:Topology joke.jpg|thumb|250x250px|A homeomorphism that turns a coffee mug into a donut continuously.]] A '''homeomorphism''' is a special type of [[function]] between two [[Topological space|topological spaces]], that establishes that the two spaces are fundamentally the same from a topological perspective. Specifically, it is a [[Continuous function|continuous]] [[bijective]] function whose [[inverse function]] is also continuous. Homeomorphisms are the Isomorp...\""
            },
            {
                "logid": 18,
                "ns": 10,
                "title": "Template:Theorem",
                "pageid": 15,
                "logpage": 15,
                "revid": 27,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T12:10:58Z",
                "comment": "Created page with \"<templatestyles src=\"Theorem/styles.css\" /><div class=\"theorem\" style=\"{{{style|}}}\"><strong>{{{title|Theorem}}}</strong> <div> {{#if: {{{theorem|<noinclude>y</noinclude>}}}      | {{{theorem}}}      | {{#if: {{{1| {{{continue|}}} }}}             | {{{1| {{{continue}}} }}}             | {{{1| {{error|[[Template:Theorem]] Error caused by a symbol in property: use <code>theorem</code> parameter}} }}}        }} }} </div></div>\""
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                "logid": 17,
                "ns": 10,
                "title": "Template:Theorem/styles.css",
                "pageid": 14,
                "logpage": 14,
                "revid": 26,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T12:09:56Z",
                "comment": "Created page with \".theorem {  \tborder: thin solid #aaa;  \tmargin: 1em 2em;  \tpadding: 0.5em 1em 0.4em; }   @media (max-width: 500px) {  \t.property { \t\tmargin: 1em 0; \t\tpadding: 0.5em 0.5em 0.4em; \t} }\""
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                "logid": 16,
                "ns": 10,
                "title": "Template:Property",
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                "logpage": 13,
                "revid": 25,
                "params": {},
                "type": "create",
                "action": "create",
                "user": "InfernalAtom683",
                "timestamp": "2026-03-22T12:09:08Z",
                "comment": "Created page with \"<templatestyles src=\"Property/styles.css\" /><div class=\"property\" style=\"{{{style|}}}\"><strong>{{{title|Property}}}</strong> <div> {{#if: {{{property|<noinclude>y</noinclude>}}}      | {{{property}}}      | {{#if: {{{1| {{{continue|}}} }}}             | {{{1| {{{continue}}} }}}             | {{{1| {{error|[[Template:Property]] Error caused by a symbol in property: use <code>property</code> parameter}} }}}        }} }} </div></div>\""
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