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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 5, Pages 59–69 (Mi ivm9112)  
This article is cited in 2 scientific papers (total in 2 papers)

On extension of continuous mappings, topological products and retracts

L.V. Shirokov

Arzamas Branch of the Lobachevsky State University of Nizhni Novgorod, 36 K. Marks str., Arzamas, Nizhni Novgorod Region, 607220 Russia
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Abstract: One of the fundamental concepts of the extension theory developed in the works of A. N. Dranishnikov and E. V. Shchepin is the concept of relation of extensiveness, which was introduced by K. Kuratovsky. We describe the behavior of the relation of extensiveness with respect to certain types of subspaces of topological products and spaces, which are the Stone–Cech compactifications of the discrete sums of the Hilbert cube.
Keywords: topological space, continuous mapping, compact, Tychonoff cube, Hilbert cube, Stone–Cech compactification, retract.
Received: 22.09.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 5, Pages 51–60
DOI: https://doi.org/10.3103/S1066369X16050042
Bibliographic databases:
Document Type: Article
UDC: 515.12
Language: Russian
Citation: L.V. Shirokov, “On extension of continuous mappings, topological products and retracts”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 5, 59–69; Russian Math. (Iz. VUZ), 60:5 (2016), 51–60
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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