FMF, Mathematical Library, Lj. (MAKLJ)
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A generalization of the Levin-Rubin-Schapiro Factorization TheoremVirk, Žiga, 1982-Pri dani preslikavi ▫$f\colon X \to Y$▫ kompaktnih Hausdorffovih prostorov nam Mardešićev faktorizacijski izrek zagotavlja obstoj faktorizacije ▫$f = qj, j \colon X \to Z, q\colon Z \to Y$▫ skozi ... kompakten Hausdorffov prostor ▫$Z$▫ s lastnostjo ▫$\dim Z \leq \dim X$▫, pri čemer je teža ▫$Z$▫ navzgor omejena s težo ▫$Y$▫. Izrek je bil v preteklosti posplošen v okviru različnih kontekstov, pri čemer je bil Levin-Rubin-Schapirov faktorizacijski izrek eden izmed bolj opaznih rezultatov. Ta članek predstavi novo posplošitev, pri kateri faktorizacijski prostor ▫$Z$▫ podeduje razširitvene lastnosti vsake preslikave v smislu Levin-Rubin-Schapirovega faktorizacijskega izreka. Omenjena dednost se izraža z novim pojmom ekstenzionalne ekvivalence. Poleg tega obravnavamo vpliv take posplošitve na ekstenzionalno relacijo med preslikavami, ▫$f \tau i$▫.Source: Topology and its Applications. - ISSN 0166-8641 (Vol. 159, iss. 3, 2012, str. 695-703)Type of material - article, component partPublish date - 2012Language - englishCOBISS.SI-ID - 16094553
Author
Virk, Žiga, 1982-
Topics
matematika |
topologija |
teorija dimenzije |
Mardešićeva faktorizacija |
inverzne limite |
mathematics |
topology |
dimension theory |
Mardešić factorization |
inverse limits
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Virk, Žiga, 1982- | 26522 |
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