Zobrazeno 1 - 7 of 7 pro vyhledávání: '"T. E. Khmyleva"'
2
A Complete Topological Classification of the Space of Baire Functions on Ordinals
Autor: T. E. Khmyleva, L. V. Genze, S. P. Gul'ko
Publikováno v: Siberian Mathematical Journal. 59:1006-1013
Considering the spaces Bp[1, α] of all Baire functions x: [1, α] → ℝ on the ordinal segments [1, α] that are endowed with the topology of pointwise convergence, we give a complete topological classification of these spaces.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::460d128266d93f94f3e1ff87158a3c60
https://doi.org/10.1134/s0037446618060046
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3
Linear homeomorphisms of spaces of continuous functions on long Sorgenfrey lines
Autor: N. N. Trofimenko, T. E. Khmyleva
Publikováno v: Siberian Mathematical Journal. 57:558-564
We carry out a linear homeomorphic classification of the spaces of continuous functions on the long Sorgenfrey lines Sα, where a is an arbitrary ordinal. The spaces of continuous functions are endowed with the topology of pointwise convergence and d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8a042b2a930e324d1e0b748c65035f0
https://doi.org/10.1134/s0037446616030204
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4
On a homeomorphism between the Sorgenfrey line S and its modification Sp
Autor: T. E. Khmyleva, E. S. Sukhacheva
Publikováno v: Mathematical notes. 2018. Vol. 103, № 2. P. 259-270
A topological space S P , which is a modification of the Sorgenfrey line S, is considered. It is defined as follows: if x ∈ P ⊂ S, then a base of neighborhoods of x is the family {[x, x + e), e > 0} of half-open intervals, and if x ∈ SP, then a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff29400019c24521c0a821e440bab561
http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000789617
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7
Isomorphisms of spaces of bounded continuous functions
Autor: T. E. Khmyleva
Publikováno v: Journal of Soviet Mathematics. 22:1860-1862
If S is a locally compact metric space, countable at infinity, and the metric space T is not locally compact, then the spaces C(S) and C(T) are not isomorphic.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8ca8e7c1a291e10d1ab2e122a11b395b
https://doi.org/10.1007/bf01882590
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