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Geometry of compact lifting spacesConner, Gregory R. ; Herfort, Wolfgang ; Pavešić, PetarV članku obravnavamo naravno posplošitev inverznih sistemov končnih regularnih krovnih prostorov. Limita takega sistema je vlaknenje katerega vlakna so profinitne topološke grupe. Kot smo pokazali v ... članku Conner et al. (Topol Appl 239:234-243, 2018), obstaja veliko primerov podobnih vlaknenj, ki so zelo daleč od tega, da jih lahko predstavimo kot inverzno limito krovnih projekcij. V članku uporabimo Borelovo konstrukcijo in profinitno topologijo na fundamentalni grupi za karakterizacijo dvižnih prostorov, ki jih je mogoče dobiti kot inverzne limite končnih regularnih prostorov.Source: Monatshefte für Mathematik. - ISSN 0026-9255 (Vol. 193, iss. 3, Nov. 2020, str. 591-603)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 35362819
Author
Conner, Gregory R. |
Herfort, Wolfgang |
Pavešić, Petar
Topics
krovna projekcija |
dvižna projekcija |
fundamentalna grupa |
inverzni sistem |
krovna transformacija |
profinitna grupa |
napolnitev grupe |
covering projection |
lifting projection |
fundamental group |
inverse system |
deck transformations |
profinite group |
group completion
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Conner, Gregory R. | ![]() |
Herfort, Wolfgang | ![]() |
Pavešić, Petar | 10768 |
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