Finite products of connected nowhere separable linearly ordered spaces
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107763
Abstract: Abstract We shall show that for every natural number n, every continuous injection from the product of n-many connected nowhere separable linearly ordered spaces into such a product is coordinate-wise. This result was announced by… read more here.
Keywords: ordered spaces; finite products; connected nowhere; linearly ordered ... See more keywords
Linearly ordered theories which are nearly countably categorical
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617030099
Abstract: The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders… read more here.
Keywords: nearly countably; ordered theories; linearly ordered; countably categorical ... See more keywords
Homotopy of Linearly Ordered Split-Join Chains in Covering Spaces of Foliated n-Manifold Charts
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DOI: 10.3390/sym15030574
Abstract: Topological spaces can be induced by various algebraic ordering relations such as, linear, partial and the inclusion-ordering of open sets forming chains and chain complexes. In general, the classifications of covering spaces are made by… read more here.
Keywords: split join; linearly ordered; foliated manifold; covering spaces ... See more keywords