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Meaning of "topological" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF TOPOLOGICAL

topological  [ˌtɒpəˈlɒdʒɪkəl] play
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GRAMMATICAL CATEGORY OF TOPOLOGICAL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Topological is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES TOPOLOGICAL MEAN IN ENGLISH?

topological

Topology

Topology is the mathematical study of shapes and topological spaces. It is an area of mathematics concerned with the properties of space that are preserved under continuous deformations including stretching and bending, but not tearing or gluing. This includes such properties as connectedness, continuity and boundary. Topology developed as a field of study out of geometry and set theory, through analysis of such concepts as space, dimension, and transformation. Such ideas go back to Leibniz, who in the 17th century envisioned the geometria situs and analysis situs. 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. By the middle of the 20th century, topology had become a major branch of mathematics. Topology has many subfields: ▪ General topology establishes the foundational aspects of topology and investigates properties of topological spaces and investigates concepts inherent to topological spaces. It includes point-set topology, which is the foundational topology used in all other branches.

Definition of topological in the English dictionary

The definition of topological in the dictionary is of or relating to topology.

WORDS THAT RHYME WITH TOPOLOGICAL


archaeological
ˌɑːkɪəˈlɒdʒɪkəl
biological
ˌbaɪəˈlɒdʒɪkəl
chronological
ˌkrɒnəˈlɒdʒɪkəl
ecological
ˌiːkəˈlɒdʒɪkəl
genealogical
ˌdʒiːnɪəˈlɒdʒɪkəl
geological
ˌdʒiːəˈlɒdʒɪkəl
histological
ˌhɪstəˈlɒdʒɪkəl
hydrological
ˌhaɪdrəˈlɒdʒɪkəl
ideological
ˌaɪdɪəˈlɒdʒɪkəl
logical
ˈlɒdʒɪkəl
meteorological
ˌmiːtɪərəˈlɒdʒɪkəl
methodological
ˌmeθədəˈlɒdʒɪkəl
morphological
ˌmɔːfəˈlɒdʒɪkəl
neurological
ˌnjʊərəˈlɒdʒɪkəl
pathological
ˌpæθəˈlɒdʒɪkəl
pharmacological
ˌfɑːməkəˈlɒdʒɪkəl
physiological
ˌfɪzɪəˈlɒdʒɪkəl
psychological
ˌsaɪkəˈlɒdʒɪkəl
technological
ˌtɛknəˈlɒdʒɪkəl
theological
ˌθɪəˈlɒdʒɪkəl

WORDS THAT BEGIN LIKE TOPOLOGICAL

topograph
topographer
topographic
topographical
topographically
topographies
topography
topoi
topoisomerase
topologic
topological group
topological space
topologically
topologist
topology
Topolski
topometry
toponym
toponymal
toponymic

WORDS THAT END LIKE TOPOLOGICAL

anthropological
archeological
astrological
chemical
epidemiological
geomorphological
histopathological
illogical
immunological
liturgical
magical
metallurgical
microbiological
mineralogical
mythological
pedagogical
phraseological
radiological
surgical
toxicological
zoological

Synonyms and antonyms of topological in the English dictionary of synonyms

SYNONYMS

Translation of «topological» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF TOPOLOGICAL

Find out the translation of topological to 25 languages with our English multilingual translator.
The translations of topological from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «topological» in English.

Translator English - Chinese

拓扑
1,325 millions of speakers

Translator English - Spanish

topológico
570 millions of speakers

English

topological
510 millions of speakers

Translator English - Hindi

topological
380 millions of speakers
ar

Translator English - Arabic

الطوبوغرافية
280 millions of speakers

Translator English - Russian

топологическим
278 millions of speakers

Translator English - Portuguese

topológica
270 millions of speakers

Translator English - Bengali

টপোলজিকাল
260 millions of speakers

Translator English - French

topologique
220 millions of speakers

Translator English - Malay

Topologi
190 millions of speakers

Translator English - German

topologischen
180 millions of speakers

Translator English - Japanese

位相的な
130 millions of speakers

Translator English - Korean

위상
85 millions of speakers

Translator English - Javanese

Topologi
85 millions of speakers
vi

Translator English - Vietnamese

topo
80 millions of speakers

Translator English - Tamil

மேற்புற
75 millions of speakers

Translator English - Marathi

टॉपोलॉजिकल
75 millions of speakers

Translator English - Turkish

topolojik
70 millions of speakers

Translator English - Italian

topologico
65 millions of speakers

Translator English - Polish

topologiczna
50 millions of speakers

Translator English - Ukrainian

топологічним
40 millions of speakers

Translator English - Romanian

topologic
30 millions of speakers
el

Translator English - Greek

τοπολογικές
15 millions of speakers
af

Translator English - Afrikaans

topologiese
14 millions of speakers
sv

Translator English - Swedish

topologisk
10 millions of speakers
no

Translator English - Norwegian

topologisk
5 millions of speakers

Trends of use of topological

TRENDS

TENDENCIES OF USE OF THE TERM «TOPOLOGICAL»

The term «topological» is quite widely used and occupies the 35.854 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
84
/100
The map shown above gives the frequency of use of the term «topological» in the different countries.
Principal search tendencies and common uses of topological
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «topological».

FREQUENCY OF USE OF THE TERM «TOPOLOGICAL» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «topological» during the past 500 years. Its implementation is based on analysing how often the term «topological» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about topological

EXAMPLES

10 ENGLISH BOOKS RELATING TO «TOPOLOGICAL»

Discover the use of topological in the following bibliographical selection. Books relating to topological and brief extracts from same to provide context of its use in English literature.
1
Introduction to Topological Quantum Computation
Ideal for graduate students and researchers from various sub-disciplines, this book provides an excellent introduction to topological quantum computation.
Jiannis K. Pachos, 2012
2
Topological Insulators and Topological Superconductors
"This book presents an array of increasingly complicated problems centered around the idea of the topology of a band in "k"-space and the theorem that the Chern number determines the Hall effect.
B. Andrei Bernevig, 2013
3
A Topological Picturebook
This book explains the graphic design of illustrations from Thurston's world of low-dimensional geometry and topology. It presents the principles of linear and aerial perspective from the viewpoint of projective geometry.
George K. Francis, 2006
4
Topological Vector Spaces
PRELIMINARY TEXT : DO NOT USE This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra.
H.H. Schaefer, Manfred P. H. Wolff, 1999
5
Topological Geometry
Provides a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place.
Ian R. Porteous, 1981
6
A Topological Aperitif
This is a book of elementary geometric topology, in which geometry, frequently illustrated, guides calculation.
Stephen Huggett, David Jordan, 2009
7
Topological Data Structures for Surfaces: An Introduction to ...
Features an accompanying website developed by the Editor. This book is invaluable for researchers and postgraduate students working in departments of GI Science, Geography and Computer Science.
Sanjay Rana, 2005
8
Topological Spaces: From Distance to Neighborhood
The initial pace makes the first nine chapters a balanced course in metric spaces, while allowing ample materials for a two-semester graduate class. A balanced selection of carefully crafted exercises complements the book.
Gerard Buskes, Arnoud van Rooij, Arnoud C. M. Rooij, 1997
9
Topological vector spaces, distributions and kernels
Topological vector spaces, distributions and kernels
François Trèves, Treves, 1967
10
Elements of Topological Dynamics
This major volume presents a comprehensive introduction to the study of topological transformation groups with respect to topological problems which can be traced back to the qualitative theory of differential equations, and provides a ...
Jan Vries, 1993

10 NEWS ITEMS WHICH INCLUDE THE TERM «TOPOLOGICAL»

Find out what the national and international press are talking about and how the term topological is used in the context of the following news items.
1
Topological Insulators: Donuts, Coffee Cups And Soundproofing …
Donuts, electric current and quantum physics - if you are a theoretical physicist interested in topological insulators, materials whose ability to conduct electric ... «Science 2.0, Jul 15»
2
Topological insulators become a little less 'elusive'
Now a SISSA study, published in Physical Review Letters, proposes a new family of materials whose topological state can be directly observed experimentally, ... «Phys.Org, May 15»
3
Self-destructive effects of magnetically-doped ferromagnetic …
The discovery of "topologically protected" electrical conductivity on the surface of some materials whose bulk interior acts as an insulator was among the most ... «Phys.Org, Jan 15»
4
Topological excitonics
We have constructed a first theoretical model that anticipates topological exciton transport and is largely immune to defects. The model consists of porphyrin ... «SPIE Newsroom, Jan 15»
5
Physicists Invent the Most Annoying Shape of Pasta to Demonstrate …
... got sufficiently long and tangled enough to appear frozen in place, which would be the definition of a new state of matter known as “topological glass.” ... «The Mary Sue, Dec 14»
6
Looking for a different sort of dark matter with GPS satellites
Some physicists have been exploring the idea that dark matter might be 'topological defects' in a quantum field. Rather than solid particles, these would be ... «Ars Technica, Nov 14»
7
Topological Insulators Move Closer to Practical Applications
Now researchers at Purdue University claim they have found evidence that is the “smoking gun” proving that topological insulators are indeed a path towards ... «IEEE Spectrum, Nov 14»
8
'Topological insulators' promising for spintronics, quantum computers
The materials are called "topological insulators." Unlike ordinary materials that are either insulators or conductors, topological insulators are in some sense both ... «Phys.Org, Nov 14»
9
Mapping the relationship between two quantum effects known as …
Topological insulators are electrically insulating in their bulk but metallically conductive at their surfaces. The QAH state occurs in these materials at low ... «Phys.Org, Oct 14»
10
New 'topological insulator' could lead to superfast computers
This new "topological insulator" behaves like an insulator on the inside but conducts electricity on the outside and may pave the way for quantum computers and ... «Phys.Org, Sep 14»

REFERENCE
« EDUCALINGO. Topological [online]. Available <https://educalingo.com/en/dic-en/topological>. Apr 2024 ».
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