Category:Definitions/Infima
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This category contains definitions related to Infima.
Related results can be found in Category:Infima.
Let $\struct {S, \preccurlyeq}$ be an ordered set.
Let $T \subseteq S$.
An element $c \in S$ is the infimum of $T$ in $S$ if and only if:
- $(1): \quad c$ is a lower bound of $T$ in $S$
- $(2): \quad d \preccurlyeq c$ for all lower bounds $d$ of $T$ in $S$.
Pages in category "Definitions/Infima"
The following 27 pages are in this category, out of 27 total.
I
- Definition:Infimum
- Definition:Infimum of Mapping
- Definition:Infimum of Mapping/Real-Valued Function
- Definition:Infimum of Mapping/Real-Valued Function/Definition 1
- Definition:Infimum of Mapping/Real-Valued Function/Definition 2
- Definition:Infimum of Real Sequence
- Definition:Infimum of Real-Valued Function
- Definition:Infimum of Sequence
- Definition:Infimum of Set
- Definition:Infimum of Set/Finite Infimum
- Definition:Infimum of Set/Real Numbers
- Definition:Infimum of Subset of Real Numbers
- Definition:Infimum on Subset Preserving Mapping
- Definition:Infimum/Also defined as
- Definition:Infimum/Also known as
M
- Definition:Mapping Preserves Filtered Infimum
- Definition:Mapping Preserves Finite Infimum
- Definition:Mapping Preserves Infimum
- Definition:Mapping Preserves Infimum/All
- Definition:Mapping Preserves Infimum/Filtered
- Definition:Mapping Preserves Infimum/Finite
- Definition:Mapping Preserves Infimum/Meet
- Definition:Mapping Preserves Infimum/Subset