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13.
Spaces of functions and sections with paracompact domain
Smrekar, Jaka
Obravnavamo prostore zveznih preslikav in prerezov, katerih domena je parakompakten Hausdorffov ▫$k$▫-prostor ▫$X$▫, kodomena pa nilpotenten CW kompleks ▫$Y$▫, s poudarkom na lokalizaciji pri množici ...praštevil. Za ▫${\rm map}_\phi(X,Y)$▫, prostor preslikav s predpisano zožitvijo ▫$\phi$▫ na primernem podprostoru ▫$A\subset X$▫, konstruiramo naravno spektralno zaporedje grup, ki konvergira k ▫$\pi_*({\rm map}_\phi(X,Y))$▫ in dopušča zaznavo lokalizacije na nivoju ▫$E^2$▫. Naše aplikacije predstavljajo razširitev in združitev prej znanih rezultatov.
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