Kyungpook Mathematical Journal
- Volume 18 Issue 1
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- Pages.37-46
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- 1978
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- 1225-6951(pISSN)
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- 0454-8124(eISSN)
LOCALLY ORDER-CONVEX SPACES
Abstract
The first part of this note is concerned with a neighbourhood base characterisation of locally order-convex spaces. The notions of order*-inductive limits and order ultrabornologicity in the class of locally order-convex spaces are introduced and studied in the latter part. These are the non-convex generalisation of o-inductive limits and o-bornological spaces.
Keywords