Zoran Skoda
dictionary

This page lists some Croatian mathematical terms, usually not studied in undergraduate study and which are related to the subject of nlab as well as to the subject of courses on sheaf theory and cohomology, abstract homotopy theory and homological algebra. English or Russian equivalents are given as an explanation. The advanced terms depend on school and the few research active mathematicians touching on these fields often disagree. We mention that there is also a general Croatian mathematical dictionary more carefully assembled by Ivica Gusi??.

adjungirani funktori (ili: funktori u sprezi; spregnuti funktori) engl. adjoint functors, rus. ??????????? ???????? (rus. wikipedia)

adjunkcija (ili: sprega) engl. adjunction

amalgamirana suma/amalgam/istisak engl. amalgamated sum, pushout

artinov (objekt, prsten) engl. artinian?

baza engl. base (base space of a bundle), basis (of vector space, of topology…)

buket (buket sfera, buket po Duskinu) engl. bouquet, rus. ?????

cijepaju?i niz engl. split sequence

cijepanje engl. splitting

derivirana kategorija vidi izvedena kategorija

determinanta engl. determinant, rus. ????????????

direktna slika engl. direct image, rus. ?????? ?????

fibracija (nekad i kao u srpskom, raslojenje) engl. fibration, rus. ??????????

fibrirani sve?anj engl. fiber bundle

folijacija engl. foliation, rus. ???????

funktor engl. functor

generator engl. generator, rus. ???????∞-∞?/-∞? (ovisi o podru?ju)

gerb engl. gerbe, od fr. gerbe

glatko (preslikavanje, mnogostrukost) engl. smooth manifold

glavni sve?anj, glavno raslojenje engl. principal bundle

graduiran (prostor, algebra) engl. graded, rus. ?????????????

gust (podskup, potkategorija) engl. dense

homotopija engl. homotopy, rus. ?????????

internalizacija engl. internalization

inverzna slika engl. inverse image

istisak (vidi amalgam) engl. pushout

izvedena/derivirana kategorija engl. derived category, rus. ??????????? ?????????

kalanje engl. cleavage (of a fibered category)

koalgebra engl. coalgebra

kofibracija engl. cofibration, rus. ????????????

kolice engl. coface

kolimes engl. colimit, rus. ????????

koprsten engl. coring

kostur kategorije engl. skeleton of a category

kosturna (ili skeletalna) kategorija engl. skeletal category

kri?ka engl. slice (kategorija kri?ki, slice category)

kvazideterminanta engl. quasideterminant

lan?ani kompleks engl chain complex

lice (simpleksa) engl. face (of a simplex)

limes engl. limit, rus. ??????

luk engl. arc

lukovima povezan engl. arcwise connected

mekani snop engl. soft sheaf, rus. ?????? ?????

mnogostrukost engl. manifold, rus. ????????????

modelna kategorija engl. Quillen model category

modul engl. module, rus. ??????

morfizam engl. morphism, fr. fleche

mre?a (hiperniz) engl. net, hypersequence

nasljedni (prsten, svojstvo) engl. hereditary (ring, property)

natkrivanje engl. covering space, rus. ????????

nedosti?ni kardinal engl. inaccessible cardinal

neprekidan engl. continuous, rus. ???????????

neterin prsten engl. Noetherian ring

operada engl. operad

orbistrukost engl. orbifold

orbiprostor engl. orbispace

particija skupa (razdioba skupa, razdijeljen skup) engl. partition

permutacija engl. permutation, rus. ????????????

petlja engl. loop, rus. ?????

plosnat engl. flat, rus. ???????

pokriva? engl. covering, rus. ????????

polugrupa engl. semigroup, rus. ??????????

polje (polje veli?ina: fizika, geometrija; polje kao algebarska kategorija) engl. field, r. champ

potpokriva? engl. subcovering, rus. ???????????

porodica engl. family, rus. ?????????

povla?enje engl. pullback

praslika engl. preimage, mo?e i za druk?iji pojam inverse image

predaditivna kategorija engl. preadditive category

predsnop engl. presheaf, rus. ?????????

prepreka (e.g. u topologiji) engl. obstruction, rus. ???????????

preslikavanje engl. map, rus. ???????????

profinjenje (npr. pokriva?a) engl. refinement

prezentacija grupe engl. presentation of a group, rus. ??????? ??????

prostor/grupa petlji engl. loop space/group, rus. ????????????/?????? ??????

(pot)puna potkategorija engl. full subcategory, rus. ?????? ????????????

prirodna transformacija engl. natural transformation

prsten engl. ring, rus. ??????

punktirani prostor engl. pointed space, rus. ????????????? ????????????

put engl. path, rus. ????

raslojena/fibrirana kategorija vidi vlaknasta kategorija

relacija engl. relation, rus. ?????????

restrikcija vidi su?enje

razlaganje/rastav/dekompozicija engl. decomposition

razlu?ivanje (dozvoljeno i rezolucija) engl. resolution (in optics)

razlu?iti engl. resolve (in optics, homological algebra)

razlu?nica (rezolventa) engl. resolution (in homological algebra)

re?eto engl. sieve (in the context of Grothendieck topology)

re?etka engl. lattice

retrakcija engl. retraction

rezolventa engl. resolvent (of bounded linear operator)

rezultanta engl. resultant (e.g. of two polynomials)

rub, granica engl. boundary

shema engl. scheme

sloj ili list folijacije engl. leaf of a foliation, rus. ???? ???????

slutnja engl. conjecture

snop engl. sheaf, rus. ?????, fr. faisceau

stog engl. stack (geometry), fr. champ

strukturni snop engl. structure sheaf

su?enje engl. restriction (of a function, section etc.)

sve?anj engl. bundle

tijelo engl. division ring/skewfield, rus. ????

unutarnja kategorija engl. inner/internal category, rus. ?????????? ?????????

upotpunjenje engl. completion, rus. ??????????

uveli snop engl. flabby/flasque sheaf, fr. faisceau flasque

varijetet (algebarska mnogostrukost) engl. variety, rus. ?????????????? ????????????

vektorski sve?anj engl. vector bundle

vektorsko polje engl. vector field

vjeran (funktor, reprezantacija) engl. faithful

vjeran i potpun funktor engl. fully faithful (or full and faithful) functor

vlaknasta kategorija (fibrirana kategorija) engl. fib(e)red category, rus. ?????????? ?????????

vlakno (sve?nja, fibracije, raslojene kategorije) engl. fiber (of a bundle, fibration, fibered category)

vlat (snopa) engl. stalk (of a sheaf)

zaboravni funktor engl. forgetful functor, rus. ????????? ???????

zarezna/koma kategorija engl. comma category (op?enitija varijanta od slice category)

Last revised on February 21, 2018 at 06:09:05. See the history of this page for a list of all contributions to it.