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Varieties of Topological Geometries [PDF]

Transactions of the American Mathematical Society, 1993
A variety of topological geometries is either A. a projective variety L ( F ) \mathcal {L}(F) over some topological field F F , or B. a matchstick variety M ( X ) \mathcal {M}(X) over some topological space
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On Canonical Almost Geodesic Mappings of Type π₂(e)

Mathematics, 2020
In the paper, we consider canonical almost geodesic mappings of type π 2 ( e ) . We have found the conditions that must be satisfied for the mappings to preserve the Riemann tensor.
Volodymyr Berezovski, Josef Mikeš, Lenka Rýparová, Almazbek Sabykanov   +3 more
doaj   +1 more source

Large Sets in Boolean and Non-Boolean Groups and Topology

Axioms, 2017
Various notions of large sets in groups, including the classical notions of thick, syndetic, and piecewise syndetic sets and the new notion of vast sets in groups, are studied with emphasis on the interplay between such sets in Boolean groups.
Ol’ga V. Sipacheva
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The geometry and topology of reconfiguration

Advances in Applied Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert Ghrist, Valerie Peterson
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Free Boolean Topological Groups

Axioms, 2015
Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability

Demonstratio Mathematica, 2020
Riemann-Liouville fractional differential equations with a constant delay and impulses are studied in this article. The following two cases are considered: the case when the lower limit of the fractional derivative is fixed on the whole interval of ...
Hristova Snezhana G., Tersian Stepan A.
doaj   +1 more source

Tilings in topological spaces

International Journal of Mathematics and Mathematical Sciences, 1999
A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise-disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well ...
F. G. Arenas
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Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms

Entropy, 2021
The purpose of this article is to establish some inequalities concerning the normalized δ-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the ...
Bang-Yen Chen, Simona Decu, Gabriel-Eduard Vîlcu   +2 more
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EFFICIENT SPATIO-TEMPORAL MODELLING TO ENABLE TOPOLOGICAL ANALYSIS [PDF]

ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2022
Time-dependent analysis scenarios such as heat, wind or flood analysis in cities and in landscapes need a correct and consistent modelling of geometry and topology over time.
M. W. Jahn, P. Kuper, M. Breunig
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The Topology of Representational Geometry

Frontiers in Neuroscience
Representational similarity analysis (RSA) is a powerful tool for abstracting and then comparing neural representations across brains, regions, models and modalities. However, typical RSA analyses compares pairs of representational dissimilarities to judge similarity of two neural systems, and we argue that such methods can not capture the shape of ...
Shael Brown, Reza Farivar
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