نتایج جستجو برای: co productcomposite variety based topological space

تعداد نتایج: 3774700  

‎For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable‎. ‎The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space‎. ‎Under certain conditions the construction simplifies‎. ‎Examples are given when this simplification o...

Journal: :Topology and its Applications 2022

We discuss for an affine variety Y embedded in space X two sets of integers attached to Y⊆X via local and de Rham cohomology spectral sequences. investigate collapse the sequences, give topological interpretations, study them small dimension, consider what extent one can attach projective varieties.

Journal: :CoRR 2017
Matthew de Brecht

We identify four countable topological spaces S2, S1, SD, and S0 which serve as canonical examples of topological spaces which fail to be quasi-Polish. These four spaces respectively correspond to the T2, T1, TD, and T0-separation axioms. S2 is the space of rationals, S1 is the natural numbers with the cofinite topology, SD is an infinite chain without a top element, and S0 is the set of finite...

Journal: :Transactions of the American Mathematical Society 1982

Journal: :Journal of Physics: Conference Series 2021

Journal: :Journal of Physics: Conference Series 2018

Journal: :Journal of the Korean Mathematical Society 2009

Journal: :Israel Journal of Mathematics 2001

‎In this study‎, ‎we investigate topological properties of fuzzy strong‎ b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎ ‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎ ‎defined with same continuous t-norms and show that $X_{1}times X_{2}$ is a‎ ‎complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are‎ ‎complete fu...

2009
JACK S. CALCUT JOHN D. MCCARTHY

For a locally path connected topological space, the topological fundamental group is discrete if and only if the space is semilocally simplyconnected. While functoriality of the topological fundamental group for arbitrary topological spaces remains an open question, the topological fundamental group is always a homogeneous space.

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