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In mathematics, topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing. This is a list of topology topics, by Wikipedia page. See also: * Topology glossary * List of topologies * List of general topology topics * List of geometric topology topics * List of algebraic topology topics * List of topological invariants (topological properties) * Publications in topology

Attributes	Values
rdfs:label	Daftar topik topologi (in) List of topology topics (en)
rdfs:comment	In mathematics, topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing. This is a list of topology topics, by Wikipedia page. See also: * Topology glossary * List of topologies * List of general topology topics * List of geometric topology topics * List of algebraic topology topics * List of topological invariants (topological properties) * Publications in topology (en) Dalam matematika, topologi (dari bahasa Yunani Kuno: τόπος, har. 'place, location', 'tempat, lokasi' dan bahasa Yunani: λόγος, har. 'study', 'belajar') berkaitan dengan sifat-sifat dari sebuah yang diawetkan di bawah kontinu, seperti , , kusut dan pembengkokan, tapi tidak ada sobekan atau . Ini adalah daftar topik topologi, oleh halaman Wikipedia. Lihat pulaː * * * Daftar topik topologi umum * * Daftar topik topologi aljabar * * (in)
dcterms:subject	Topology Mathematics-related lists
Wikipage page ID	3039388 (xsd:integer)
Wikipage revision ID	1076551066 (xsd:integer)
Link from a Wikipage to another Wikipage	List of algebraic topology topics List of general topology topics Mereotopology Topological Quantum Computing Topological dimension Topology glossary Topology of the universe Deformation theory Network topology List of geometric topology topics Topological combinatorics Continuous function Mathematics Geometric topology Mathematical object Topological order Quantum topology Topological property Greek language Connectedness Milnor–Thurston kneading theory Leonhard Euler Line (geometry) Combinatorial topology Computational topology Pointless topology Topological data analysis Topological modular forms Noncommutative topology Topology Link (knot theory) Topological dynamics Topology Euclidean space Differential topology Digital topology Geospatial topology Topological entropy Topological entropy in physics Quotient space (topology) Gottfried Leibniz Counterexamples in Topology Topological K-theory Johann Benedict Listing Surface (mathematics) Homeomorphism Homotopy Continuity (mathematics) Grothendieck topology Metric space Mathematics-related lists Set (mathematics) Topological skeleton Twist (mathematics) Topological string theory Euler characteristic List of topologies Listing number Seven Bridges of Königsberg Topological quantum computer Topological game Topological quantum number Set-theoretic topology Topology optimization Topological space Topological graph theory Topological quantum field theory Topological defect Topological conjugacy Topological degree theory Stretch factor Water, gas, and electricity List of publications in mathematics Topological mixing dbr:Topological_computing Compact (topology) dbr:Talk:Set-theoretic_topology dbr:Wikt:τόπος
sameAs	List of topology topics List of topology topics List of topology topics
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has abstract	In mathematics, topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing. A topological space is a set endowed with a structure, called a topology, which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopies. A property that is invariant under such deformations is a topological property. Basic examples of topological properties are: the dimension, which allows distinguishing between a line and a surface; compactness, which allows distinguishing between a line and a circle; connectedness, which allows distinguishing a circle from two non-intersecting circles. The ideas underlying topology go back to Gottfried Leibniz, who in the 17th century envisioned the geometria situs and analysis situs. Leonhard Euler's Seven Bridges of Königsberg problem and polyhedron formula are arguably the field's first theorems. The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. This is a list of topology topics, by Wikipedia page. See also: * Topology glossary * List of topologies * List of general topology topics * List of geometric topology topics * List of algebraic topology topics * List of topological invariants (topological properties) * Publications in topology (en) Dalam matematika, topologi (dari bahasa Yunani Kuno: τόπος, har. 'place, location', 'tempat, lokasi' dan bahasa Yunani: λόγος, har. 'study', 'belajar') berkaitan dengan sifat-sifat dari sebuah yang diawetkan di bawah kontinu, seperti , , kusut dan pembengkokan, tapi tidak ada sobekan atau . Sebuah ruang topologi adalah sebuah himpunan diberkahi dengan sebuah struktur, disebut topologi, yang memungkinkan pendefinisian deformasi kontinu subruang, dan, lebih umum, semus jenis , ruang Euklidean, dan lebih umum, ruang metrik adalah contoh-contoh dari sebuah ruang topologi, sebagai jarak berapapun atau metrik mendefinisikan sebuah topologi. Deformasi yang dianggap dalam topologi adalah homeomorfisme dan . Sebuah sifat yang invarian di bawah deformasi tersebut merupakan sebuah . Contoh dasar sifat-sifat topologi adalah, , yang memungkinkan pembedaan antara sebuah garis dan sebuah , kekompakan, yang memungkinkan pembedaan antara sebuah garis dan sebuah lingkaran; keterhubungan, yang memungkinkn pembedaan sebuah lingkaran dari dua lingkaran tidak berpotongan. Ide yang mendasari topologi kembali ke Gottfreid Leibniz, yang pada abad ke-17 membayangkan geometria situs dan analysis situs. Masalah Tujuh Jembatan Königsberg Leonhard Euler dan rumus polihedron bisa dikatakan teori pertama di bidang ini. Istilah topologi diperkenalkan oleh dalam abad ke-19, meskipun tidak sampai dekade pertama dari abad ke-20 yang ide dari sebuah ruang topologi dikembangkan. Ini adalah daftar topik topologi, oleh halaman Wikipedia. Lihat pulaː * * * Daftar topik topologi umum * * Daftar topik topologi aljabar * * (in)
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foaf:isPrimaryTopicOf	wikipedia-en:List_of_topology_topics
is Link from a Wikipage to another Wikipage of	List of algebraic topology topics List of general topology topics

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