Title Prostori konfiguracija i operade malih kocaka Author Vlatko Crnković Mentor Matija Bašić (mentor)Committee member Matija Bašić (predsjednik povjerenstva)Committee member Tomislav Berić (član povjerenstva)Committee member Goran Muić (član povjerenstva)Committee member Andrej Dujella (član povjerenstva)Granter University of Zagreb Defense date and country 2019-09-26, Croatia Scientific / art field, NATURAL SCIENCES Abstract U ovom radu promatramo pojam operade, preciznije topološke operade, i neke njene primjene. Pojam je u današnjem obliku uveden u radu Petera Maya, [7], za potrebe karakterizacije višestrukih prostora petlji, no krajem dvadesetog stoljeća nalazi primjene i u drugim granama matematike. Rad je organiziran u tri poglavlja s dodatkom na kraju koji navodi osnovne rezultate teorije kategorija i topologije potrebne za praćenje sadržaja. U prvom poglavlju definiramo pojam operade i
... More P P P P W ( P ) F ( R n , ⋅ ) K π 0 K K Less Abstract (english) In this paper we observe the notion of an operad, more precisely a topological operad, and some of its applications. The term operad, as it is known today, was first introduced in the work of Peter May, [7], for the purposes of characterizing iterated loop spaces, though, towards the end of the twentieth century, it finds its applications in other branches of mathematics. This paper is organized into three chapters, with an appendix that contains basic results of
... More category theory and topology required for its understanding. In the first chapter we define operads and P − P P P P W ( P ) P F ( R n , ⋅ ) K π 0 K K Less Keywords
operada
topološka operada
monada
algebra nad monadom
operade malih kocaka
Kontsevicheva operada
Keywords (english)
operad
topological operad
monad
algebra over monad
little cube operad
Kontsevich operad
Language croatian URN:NBN urn:nbn:hr:217:210709 Study programme Title: Pure Mathematics Type of resource Text File origin Born digital Access conditions Open access Terms of use Created on 2020-01-23 08:54:17
