• 한국지능시스템학회논문지
• /
• 제12권2호
• /
• pp.187-191
• /
• 2002

In this paper, we introduce the notion of smooth neighborhoods in smooth topological spaces and investigate some of their properties. In particular, we can obtain some smooth topologies from a smooth neighborhood system.

• 호남수학학술지
• /
• 제34권4호
• /
• pp.559-570
• /
• 2012

We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.