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• 21:21, 22 March 2026 InfernalAtom683 talk contribs created page Homotopy (Created page with "A '''homotopy''' is a continuous deformation between two 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...") Tag: Visual edit
• 21:20, 22 March 2026 InfernalAtom683 talk contribs created page Hausdorffness (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 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...") Tag: Visual edit
• 21:19, 22 March 2026 InfernalAtom683 talk contribs created page Equivalence relation (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'...") Tag: Visual edit
• 20:58, 22 March 2026 InfernalAtom683 talk contribs created page Compactness (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 properties in analysis and topology. Intuitively, compactness can be understood as a generalization of being "closed and bounded"....") Tag: Visual edit
• 20:57, 22 March 2026 InfernalAtom683 talk contribs created page Category of topological spaces (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 spaces and whose morphisms are 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...") Tag: Visual edit
• 20:42, 22 March 2026 InfernalAtom683 talk contribs created page Homeomorphism (Created page with "thumb|250x250px|A homeomorphism that turns a coffee mug into a donut continuously. A '''homeomorphism''' is a special type of function between two topological spaces, that establishes that the two spaces are fundamentally the same from a topological perspective. Specifically, it is a continuous bijective function whose inverse function is also continuous. Homeomorphisms are the Isomorp...") Tag: Visual edit: Switched
• 20:10, 22 March 2026 InfernalAtom683 talk contribs created page Template:Theorem (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>")
• 20:09, 22 March 2026 InfernalAtom683 talk contribs created page Template:Theorem/styles.css (Created page with ".theorem { border: thin solid #aaa; margin: 1em 2em; padding: 0.5em 1em 0.4em; } @media (max-width: 500px) { .property { margin: 1em 0; padding: 0.5em 0.5em 0.4em; } }")
• 20:09, 22 March 2026 InfernalAtom683 talk contribs created page Template:Property (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>")
• 20:08, 22 March 2026 InfernalAtom683 talk contribs created page Template:Property/styles.css (Created page with ".property { border: thin solid #aaa; margin: 1em 2em; padding: 0.5em 1em 0.4em; } @media (max-width: 500px) { .property { margin: 1em 0; padding: 0.5em 0.5em 0.4em; } }")
• 20:08, 22 March 2026 InfernalAtom683 talk contribs created page Template:Proof (Created page with "<templatestyles src="Proof/styles.css" /><div class="proof mw-collapsible" style="{{{style|}}}"><strong>{{{title|Proof}}}</strong> <div class="mw-collapsible-content"> {{#if: {{{proof|<noinclude>y</noinclude>}}} | {{{proof}}} | {{#if: {{{1| {{{continue|}}} }}} | {{{1| {{{continue}}} }}} | {{{1| {{error|Template:Proof Error caused by a symbol in proof: use <code>proof</code> parameter}} }}} }} }} <div class="qed">□</div> </di...")
• 20:07, 22 March 2026 InfernalAtom683 talk contribs created page Template:Proof/styles.css (Created page with ".proof { border: thin solid #aaa; margin: 1em 2em; padding: 0.5em 1em 0.4em; } .proof::after { content: ""; display: table; clear: both; } .qed { float: right; clear: both; margin-top: 0.2em; font-size: 1.2em; } @media (max-width: 500px) { .proof { margin: 1em 0; padding: 0.5em 0.5em 0.4em; } }")
• 19:49, 22 March 2026 InfernalAtom683 talk contribs created page File:Word mark.svg
• 19:49, 22 March 2026 InfernalAtom683 talk contribs uploaded File:Word mark.svg
• 19:47, 22 March 2026 InfernalAtom683 talk contribs created page File:Mathepedia.png
• 19:47, 22 March 2026 InfernalAtom683 talk contribs uploaded File:Mathepedia.png
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Category ring by file upload (1 revision)
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• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/styles.css by file upload (1 revision)
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Template:Main Page/Button by file upload (1 revision)
• 19:22, 22 March 2026 InfernalAtom683 talk contribs imported Main Page by file upload (1 revision)
• 17:51, 22 March 2026 MediaWiki default talk contribs created page Main Page