Submetrizable spaces and open mappings
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Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (201)
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CHOBAN, Mitrofan, MIHAYLOVA, Ekaterina. Submetrizable spaces and open mappings. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2020, nr. 2(10), pp. 32-46. ISSN 2537-6284. DOI: 10.36120/2587-3644.v10i2.32-46
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Acta et commentationes (Ştiinţe Exacte și ale Naturii)
Numărul 2(10) / 2020 / ISSN 2537-6284 /ISSNe 2587-3644

Submetrizable spaces and open mappings

Spații submetrizabele și aplicații deschise

DOI: https://doi.org/10.36120/2587-3644.v10i2.32-46
CZU: 517.982.272+515.122.55
MSC 2010: 54A05, 54C10, 54C60, 54E18.

Pag. 32-46

Choban Mitrofan1, Mihaylova Ekaterina2
 
1 Tiraspol State University,
2 University of Architecture, Civil Engineering and Geodesy
 
Disponibil în IBN: 16 ianuarie 2021


Rezumat

The present article characterizes the continuous open complete images of submetrizable spaces as the spaces with pseudo-base of countable order. Some theorems about selections of set-valued mappings into submetrizable spaces are obtained.

În acest articol se caracterizeaza imaginile continue deschise si complete a spatiilor submetrizabile ca spatii cu pseudo-baza de ordine numarabil. Sunt demonstrate unele teoreme despre selectiile pentru aplicatii cu valori complete în spatii submetrızabile.

Cuvinte-cheie
submetrizable space, open mapping, set-valued mapping,

spatiu submetrizabil, aplicatie deschisa, set-valued aplicatie multivoca

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