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Meaning of "cohomological" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF COHOMOLOGICAL

cohomological  [ˌkəʊhɒməˈlɒdʒɪkəl] play
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GRAMMATICAL CATEGORY OF COHOMOLOGICAL

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

WHAT DOES COHOMOLOGICAL MEAN IN ENGLISH?

Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups defined from a co-chain complex. That is, cohomology is defined as the abstract study of cochains, cocycles, and coboundaries. Cohomology can be viewed as a method of assigning algebraic invariants to a topological space that has a more refined algebraic structure than does homology. Cohomology arises from the algebraic dualization of the construction of homology. In less abstract language, cochains in the fundamental sense should assign 'quantities' to the chains of homology theory. From its beginning in topology, this idea became a dominant method in the mathematics of the second half of the twentieth century; from the initial idea of homology as a topologically invariant relation on chains, the range of applications of homology and cohomology theories has spread out over geometry and abstract algebra. The terminology tends to mask the fact that in many applications cohomology, a contravariant theory, is more natural than homology.

Definition of cohomological in the English dictionary

The definition of cohomological in the dictionary is pertaining to cohomology.

WORDS THAT RHYME WITH COHOMOLOGICAL


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 COHOMOLOGICAL

cohesive soil
cohesively
cohesiveness
cohibit
cohibition
cohibitive
coho
cohobate
cohog
coholder
cohomology
cohort
cohortative
cohosh
cohost
cohostess
cohousing
COHSE
cohune
cohune palm

WORDS THAT END LIKE COHOMOLOGICAL

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

Synonyms and antonyms of cohomological in the English dictionary of synonyms

SYNONYMS

Translation of «cohomological» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF COHOMOLOGICAL

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

Translator English - Chinese

同调
1,325 millions of speakers

Translator English - Spanish

cohomológico
570 millions of speakers

English

cohomological
510 millions of speakers

Translator English - Hindi

cohomological
380 millions of speakers
ar

Translator English - Arabic

cohomological
280 millions of speakers

Translator English - Russian

когомологическая
278 millions of speakers

Translator English - Portuguese

cohomológica
270 millions of speakers

Translator English - Bengali

cohomological
260 millions of speakers

Translator English - French

cohomologique
220 millions of speakers

Translator English - Malay

Kohomologi
190 millions of speakers

Translator English - German

kohomologische
180 millions of speakers

Translator English - Japanese

cohomological
130 millions of speakers

Translator English - Korean

cohomological
85 millions of speakers

Translator English - Javanese

Cohomological
85 millions of speakers
vi

Translator English - Vietnamese

cohomological
80 millions of speakers

Translator English - Tamil

cohomological
75 millions of speakers

Translator English - Marathi

Cohomological
75 millions of speakers

Translator English - Turkish

KOHOMOLOJİK
70 millions of speakers

Translator English - Italian

coomologica
65 millions of speakers

Translator English - Polish

cohomological
50 millions of speakers

Translator English - Ukrainian

Когомологіческая
40 millions of speakers

Translator English - Romanian

coomologice
30 millions of speakers
el

Translator English - Greek

cohomological
15 millions of speakers
af

Translator English - Afrikaans

cohomologische
14 millions of speakers
sv

Translator English - Swedish

cohomological
10 millions of speakers
no

Translator English - Norwegian

kohomologiske
5 millions of speakers

Trends of use of cohomological

TRENDS

TENDENCIES OF USE OF THE TERM «COHOMOLOGICAL»

The term «cohomological» is normally little used and occupies the 123.482 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
42
/100
The map shown above gives the frequency of use of the term «cohomological» in the different countries.
Principal search tendencies and common uses of cohomological
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «cohomological».

FREQUENCY OF USE OF THE TERM «COHOMOLOGICAL» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «cohomological» during the past 500 years. Its implementation is based on analysing how often the term «cohomological» 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 cohomological

EXAMPLES

10 ENGLISH BOOKS RELATING TO «COHOMOLOGICAL»

Discover the use of cohomological in the following bibliographical selection. Books relating to cohomological and brief extracts from same to provide context of its use in English literature.
1
Cohomological Methods in Transformation Groups
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and ...
C. Allday, Volker Puppe, 1993
2
Cohomological Induction and Unitary Representations: Anthony ...
This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations.
Anthony W. Knapp, David A. Vogan, 1995
3
Cohomological Invariants in Galois Cohomology
This volume is concerned with algebraic invariants, such as the Stiefel-Whitney classes of quadratic forms (with values in Galois cohomology mod 2) and the trace form of etale algebras (with values in the Witt ring).
Skip Garibaldi, Alexander Merkurjev, Jean Pierre Serre
4
Cohomological Theory of Dynamical Zeta Functions
" "The book should be appealing not only to the specialists on zeta functions which will find their object of favorite interest connected in new ways with index theory, geometric quantization methods, foliation theory and representation ...
Andreas Juhl, 2001
5
Topics in Cohomological Studies of Algebraic Varieties: ...
The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of ...
Piotr Pragacz, 2006
6
Cohomological Methods in Homotopy Theory: Barcelona ...
This book contains a collection of articles summarizing together the state of knowl edge in a broad portion of modern homotopy theory.
Jaume Aguade, Carles Broto, Carles Casacuberta, 2001
7
Cohomological and Geometric Approaches to Rationality ...
This volume provides an overview of rationality problems by surveying research from leading experts in the field. Readers will find coverage of rationality problems from both cohomological and algebraic geometry perspectives.
Fedor Bogomolov, Yuri Tschinkel, 2009
8
Secondary Calculus and Cohomological Physics: Proceedings of ...
This collection of invited lectures (at the Conference on Secondary Calculus and Cohomological Physics, Moscow, 1997) reflects the state-of-the-art in a new branch of mathematics and mathematical physics arising at the intersection of ...
Marc Henneaux, Iosif Semenovich Krasilʹshchik, Aleksandr Mikhaĭlovich Vinogradov, 1998
9
Geometric and Cohomological Methods in Group Theory
An extended tour through a selection of the most important trends in modern geometric group theory.
Martin R. Bridson, Peter H. Kropholler, Ian J. Leary, 2009
10
Cohomological Aspects in Complex Non-Kähler Geometry
In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure.
Daniele Angella, 2013

3 NEWS ITEMS WHICH INCLUDE THE TERM «COHOMOLOGICAL»

Find out what the national and international press are talking about and how the term cohomological is used in the context of the following news items.
1
After 84 years, von Neumann-Day math problem finally solved
Lodha presented his solution at the London Mathematical Society's Geometric and Cohomological Group Theory symposium in August, and ... «Science Codex, Nov 13»
2
A vexing math problem finds an elegant solution
Lodha presented his solution at the London Mathematical Society's Geometric and Cohomological Group Theory symposium in August, and ... «Cornell Chronicle, Nov 13»
3
The International Society for Mathematical and Computational …
... systematizations of mathematical crystallography and their application to design; cohomological unification in quantum mechanics, etc. «Wired, Mar 12»

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