Properties of Functionally Alexandroff Topologies and Their Lattice
This thesis explores functionally Alexandroff topologies and the order theory asso- ciated when considering the collection of such topologies on some set X.
Menix, Jacob Scott
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Discrete model of spacetime in terms of inverse spectra of the $T_0$ Alexandroff topological spaces
LaTeX, 39 pages, no ...
Efremov, Vladimir N. +1 more
openaire +2 more sources
Parametrized topological complexity of poset-stratified spaces. [PDF]
Tanaka K.
europepmc +1 more source
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. [PDF]
LipiĆski M +3 more
europepmc +1 more source
Possible heights of Alexandroff square transformation groups
In the following text we compute possible heights of $\mathbb A$ (Alexandroff square), $\mathbb O$ (unit square $[0,1]\times[0,1]$ with lexicographic order topology) and $\mathbb U$ (unit square $[0,1]\times[0,1]$ with induced topology of Euclidean plane)
Ebrahimifar, Fatemeh +3 more
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Possible Heights of Alexandroff Square Transformation Groups
In the following text we compute possible heights of A (Alexandroff square), O (unit square [0, 1] × [0, 1] with lexicographic order topology) and U (unit square [0, 1] × [0, 1] with induced topology of Euclidean plane). We prove Ph(A) = {n :
Fatemah Ayatollah Zadeh Shirazi; Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Ave., Tehran, Iran +3 more
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Towards lambda calculus order-incompleteness
After Scott, mathematical models of the type-free lambda calculus are constructed by order theoretic methods and classified into semantics according to the nature of their representable functions.
SALIBRA A. +2 more
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Couceiro M, Duffus D.
europepmc +1 more source
Generalized metric spaces : completion, topology, and powerdomains via the Yoneda embedding [PDF]
Generalized metric spaces are a common generalization of preorders and ordinary metric spaces (Lawvere 1973). Combining Lawvere's (1973) enriched-categorical and Smyth' (1988, 1991) topological view on generalized metric spaces, it is shown how to ...
Bonsangue, M.M. (Marcello) +5 more
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Generalized Ultrametric Spaces: Completion, Topology, and Powerdomains via the Yoneda Embedding [PDF]
Generalized ultrametric spaces are a common generalization of preorders and ordinary ultrametric spaces (Lawvere 1973, Rutten 1995). Combining Lawvere's (1973) enriched-categorical and Smyth' (1987, 1991) topological view on generalized (ultra)metric ...
Bonsangue, M.M. (Marcello) +8 more
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