An abstract characterization of menger algebras of strongly quasi-open multiplace maps
| dc.contributor.author | Muradov, Firudin | |
| dc.date.accessioned | 2024-07-12T20:49:19Z | |
| dc.date.available | 2024-07-12T20:49:19Z | |
| dc.date.issued | 2019 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | Let X and Y be topological spaces. A map f : X ? Y is quasi-open if Int(f (U)) ?= ? for every non-empty open set U ? X. We say that a map f : Xn ? X is a strongly quasi-open map if for any non-empty set V ? Xn for which all projections have non-empty interiors, the interior of f(V ) is non-empty. Let Q (Xn, X) denote the Menger algebra of strongly quasi-open maps from Xn to X with composition of functions: [fg1...gn] (a1, ..., an) = f (g1 (a1, ..., an), ..., gn (a1, ..., an)) A topological space X is said to be a TD-space if for every point ? in X the set { ? } r{?} is closed. Obviously, each TD-space is T0-space and each T1-space is TD-space. We call a topological space X a T + D -space if it is a TD-space with no one-point open sets and if for every point ? in X and for every open set U containing ? the set U ? ( X \ { ? }) is not empty. Let X be T + D -space that has an open base, each element of which is an image of X under a quasi-open map and let ? be a class of all such spaces. Theorem 1. Let X, Y ? ?. The Menger algebras Q (Xn, X) and Q (Xn, X) are isomorphic if and only if the topological spaces X and Y are homeomorphic. Keywords: Menger algebra, strongly quasi-open map. | en_US |
| dc.identifier.citation | Muradov, F. (2019). An abstract characterization of menger algebras of strongly quasi-open multiplace maps. International Conference of Mathematical Sciences (ICMS 2019). s. 205. | en_US |
| dc.identifier.endpage | 206 | en_US |
| dc.identifier.isbn | 978-605-2124-29-1 | |
| dc.identifier.startpage | 205 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2157 | |
| dc.institutionauthor | Muradov, Firudin | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences (ICMS 2019) | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY01522 | |
| dc.subject | Menger algebra | en_US |
| dc.subject | Strongly quasi-open map | en_US |
| dc.title | An abstract characterization of menger algebras of strongly quasi-open multiplace maps | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
