Approach Merotopological Spaces and their Completion
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Summary
This paper introduces the concept of an approach merotopological space and studies its category-theoretic properties, and takes a unified look at the completion of metric spaces, approach spaces, nearness spaces, merotipological spaces, and approach merots.
- Type
- article
- Published
- 2010-06-22
- Cited by
- 15
- References
- 37
- Access
- Open access
- OpenAlex
- https://openalex.org/W2032492524
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:17214470
Keywords
Mathematics, Metric space, Topological space, Space (punctuation), Set (abstract data type)
References
- A Unified Functional Look at Completion in MET, UNIF and AP
- A non quasi-metric completion for quasi-metric spaces
- L-GUILDS AND BINARY L-MEROTOPIES
- Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad
- A Compendium of Continuous Lattices
- Grill Determined L-Approach Merotopological Spaces
- Approach Theory in Merotopic, Cauchy and Convergence Spaces. II
- A New Proof on Embedding the Category of Proximity Spaces into the Category of Nearness Spaces
- m-contiguities. I
- Semi-proximity continuous functions in digital images
- Fuzzy f -proximities
- L-contiguities and their order structure
- L-fuzzy preproximities and L-fuzzy topologies
- Compactifications of products of metric spaces and their relations to Čech-Stone and Smirnov compactifications
- A note on classical and fuzzy f-proximities
- Abstract and concrete categories
- Extensions of Topological Spaces
- Completing quasi-metric spaces: an alternative approach
- Approach Theory in Merotopic, Cauchy and Convergence Spaces. I
- Merotopological Spaces
Cited by
- Completion in a common supercategory of Met, UAP, wsAP and Near
- L-approach merotopies and their categorical perspective
- Grill Determined L-Approach Merotopological Spaces
- α*-Uniformities and their order structure
- Ultrafilter Completeness in ε -approach Nearness Spaces
- Improved nearness research IV
- How Near Are Zdzisław Pawlak's Paintings? - Study of Merotopic Distances between Digital Picture Regions-of-Interest
- A New Approach to the Study of Extended Metric Spaces
- An Approach of Proximity in Rough Set Theory
- Sufficiently near L-fuzzy sets
- Ultrafilter Completeness in ε -approach Nearness Spaces
- Approach Merotopies and Near Filters * Theory and Application
- Sufficiently Near Sets of Neighbourhoods
- Approach Space Framework for Image Database Classification
- Near Tolerance Rough Sets
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