Trajectories in topological spaces due to lattice responses for low energies relational processes
The transition from continuous functions f5 to continuous functions f6, both defined on metric spaces, is analyzed. These functions are final responses due to energy variations of processes represented by lattices L5/(o) and L6, respectively. They are algebraically very different: L5/(o) belongs to...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_08957177_v29_n9_p127_Leguizamon |
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todo:paper_08957177_v29_n9_p127_Leguizamon2023-10-03T15:42:24Z Trajectories in topological spaces due to lattice responses for low energies relational processes Leguizamón, C.A. Zaretzky, A.N. Algebraic relational theory Continuous responses Lattices Topological spaces The transition from continuous functions f5 to continuous functions f6, both defined on metric spaces, is analyzed. These functions are final responses due to energy variations of processes represented by lattices L5/(o) and L6, respectively. They are algebraically very different: L5/(o) belongs to a nonmodular algebra meanwhile L6 is a pseudo-Boolean algebra belonging to the equational variety H5. A continuous jump function between points defined when f5 ends towards points defined when f6 starts is obtained, and two regions of ending nondistributivity and of starting distributivity come out from this construction. The interactions of these trajectories with the former regions in three-dimensional spaces are studied taking into account energetic considerations. From there it is found how the surface D̄(o) of starting distributivity is, which is the energetic gap to reach it from a given constant value, and which is the matter condition for getting the shortest energy way up to get distributivity from a nonmodular process. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_08957177_v29_n9_p127_Leguizamon |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Algebraic relational theory Continuous responses Lattices Topological spaces |
| spellingShingle |
Algebraic relational theory Continuous responses Lattices Topological spaces Leguizamón, C.A. Zaretzky, A.N. Trajectories in topological spaces due to lattice responses for low energies relational processes |
| topic_facet |
Algebraic relational theory Continuous responses Lattices Topological spaces |
| description |
The transition from continuous functions f5 to continuous functions f6, both defined on metric spaces, is analyzed. These functions are final responses due to energy variations of processes represented by lattices L5/(o) and L6, respectively. They are algebraically very different: L5/(o) belongs to a nonmodular algebra meanwhile L6 is a pseudo-Boolean algebra belonging to the equational variety H5. A continuous jump function between points defined when f5 ends towards points defined when f6 starts is obtained, and two regions of ending nondistributivity and of starting distributivity come out from this construction. The interactions of these trajectories with the former regions in three-dimensional spaces are studied taking into account energetic considerations. From there it is found how the surface D̄(o) of starting distributivity is, which is the energetic gap to reach it from a given constant value, and which is the matter condition for getting the shortest energy way up to get distributivity from a nonmodular process. |
| format |
JOUR |
| author |
Leguizamón, C.A. Zaretzky, A.N. |
| author_facet |
Leguizamón, C.A. Zaretzky, A.N. |
| author_sort |
Leguizamón, C.A. |
| title |
Trajectories in topological spaces due to lattice responses for low energies relational processes |
| title_short |
Trajectories in topological spaces due to lattice responses for low energies relational processes |
| title_full |
Trajectories in topological spaces due to lattice responses for low energies relational processes |
| title_fullStr |
Trajectories in topological spaces due to lattice responses for low energies relational processes |
| title_full_unstemmed |
Trajectories in topological spaces due to lattice responses for low energies relational processes |
| title_sort |
trajectories in topological spaces due to lattice responses for low energies relational processes |
| url |
http://hdl.handle.net/20.500.12110/paper_08957177_v29_n9_p127_Leguizamon |
| work_keys_str_mv |
AT leguizamonca trajectoriesintopologicalspacesduetolatticeresponsesforlowenergiesrelationalprocesses AT zaretzkyan trajectoriesintopologicalspacesduetolatticeresponsesforlowenergiesrelationalprocesses |
| _version_ |
1807316691938443264 |