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Homotopy type of mapping spaces and existence of geometric exponentsSmrekar, JakaNaj bo ▫$Y$▫ enostavno povezan končen kompleks in naj ▫$S^m[p^{-1}]$▫ označuje kompleks, ki ga dobimo iz ▫$m$▫-razsežne sfere z invertiranjem praštevila ▫$p$▫. V članku je dokazano, da ima za vsako ... dovolj veliko število ▫$l$▫ iterirani zančni prostor ▫$\Omega^l Y$▫ eksponent kot H-prostor natanko tedaj, ko ima za vsako dovolj veliko število ▫$m$▫ prostor ▫${\text{map}}_\ast(S^m[p^{-1}],Y)$▫ zveznih preslikav▫ $S^m[p^{-1}] \to Y$▫, ki ohranjajo bazno točko, homotopski tip CW kompleksa. S pomočjo tega rezultata obstoj geometričnih eksponentov prevedemo v fantomske pojave prostorov preslikav.Source: Forum mathematicum. - ISSN 0933-7741 (Vol. 22, no. 3, 2010, str. 433-456)Type of material - article, component partPublish date - 2010Language - englishCOBISS.SI-ID - 15638105
Author
Smrekar, Jaka
Topics
matematika |
topologija |
prostor preslikav |
funkcijski prostor |
homotopski eksponent |
eksponent H-prostora |
Moorova domneva |
CW homotopski tip |
kompaktno odprta topologija |
fantomska preslikava |
mathematics |
topology |
mapping space |
function space |
homotopy exponent |
H-space exponent |
Moore conjecture |
CW homotopy type |
compact open topology |
phantom map
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Smrekar, Jaka | 21969 |
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