Temporal Proximity of 1-cycles in CW Spaces, Time-Varying Cell Complexes

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Fundamentals of Contemporary Mathematical Sciences
Volume:2 Issue:2
Temporal Proximity of 1-cycles in CW Spaces, Time-Varying Cell Complexes

Temporal Proximity of 1-cycles in CW Spaces, Time-Varying Cell Complexes

Authors : James F PETERS

Pages : 101-120

View : 31 | Download : 5

Publication Date : 2021-07-31

Article Type : Research Paper

Abstract :This paper introduces approximate temporal proximities of 1-cycle cell complexes in a spacetime view of a planar Whitehead CW space. Divergence of the vector field of a 1-cycle provides a natural basis for an approximate Temporal Proximity insert ignore into journalissuearticles values(aTP); of time-varying 1-cycles useful in the detection, characterization, analysis, and measurement of the closeness of changing geometric realizations of simplicial complexes in a J.H.C Whitehead CW topological space. A practical application of aTP is given in terms of the temporal closeness of 1-cycle shapes in sequences of video frames. A main result in this paper is that every pair of cell complexes with the same descriptions over the same temporal interval have two properties, namely, insert ignore into journalissuearticles values(i); persistence and insert ignore into journalissuearticles values(ii); approximate temporal closeness.
Keywords : CW space, 1 Cycle, Cell Complex, Divergence, Temporal Proximity

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.