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- W60003977 abstract "This chapter discusses an algebraic structure closely related to topology. A topology can be defined in terms of a carrier space, X, and a neighborhood mapping, η, which assigns a neighborhood filter to each point of X. The principal interest of the topologist is the space X and the ways in which the topology affects the structure of this space. The chapter also discusses an algebraic structure on the topology and is concerned with the algebraic behavior of this structure than with the structure of the space itself. It further discusses algebraic matters concerned with this algebraic system and also discusses its relations with topology. Various topological concepts can be introduced into neighborhood algebras without direct reference to an underlying space X. For example, the concept of a filter basis, an ultra filter, continuous mapping, homeomorphism, etc. can be defined." @default.
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- W60003977 date "1967-01-01" @default.
- W60003977 modified "2023-09-23" @default.
- W60003977 title "REMARKS ON AN ALGEBRAIC STRUCTURE FOR A TOPOLOGY" @default.
- W60003977 doi "https://doi.org/10.1016/b978-1-4831-9850-7.50010-2" @default.
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