Word.ws English Dictionary

How to use topological in a sentence

36 example sentences · adjective

Topological means of or relating to topology. Example: “Let X be a topological space with a distinguished point p.”

More sentences with topological

  • Let X be a topological space with a distinguished point p.From the entry distinguished
  • The Kolmogorov quotient of any topological space is a Kolmogorov space.From the entry Kolmogorov space
  • The categorical product generalises the Cartesian product of sets, product of topological spaces and direct product of groups.From the entry categorical product
  • Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible.From the entry algebraic topology
  • The topological charge of families of lattice gauge fields is defined fermionically via families index theory for the overlap Dirac operator.From the entry fermionically
  • The Zariski topology allows tools from topology to be used in the study of algebraic varieties, even when the underlying field is not a topological field.From the entry Zariski topology
  • The deltoidal dodecahedron is another topological equivalence of a rhombic dodecahedron form.2026 July 11, Wikipedia contributors, “Rhombic dodecahedron”, in English Wikipedia, Wikimedia Foundation. From the entry deltoidal
  • We represent pk-structures as orientable fatgraphs, which naturally leads to a filtration by their topological genus.2016, Fenix W.D. Huang, Christian M. Reidys, “Topological language for RNA”, in arXiv. From the entry fatgraph
  • We describe classes of semisynchronizing, non-synchronizing subshifts, that are closed under topological conjugacy.2016, Wolfgang Krieger, “On certain labelled directed graphs of symbolic dynamics”, in arXiv. From the entry semisynchronizing
  • A topological space may be very sparsely endowed with open sets.2007, A. K. Sharma, Measure Theory, Discovery Publishing House, page 1. From the entry empty set
  • The universe of classical mathematics is special because in it all sets are like discrete topological spaces.2005, Andrej Bauer, Mathematics and Computation: The Law of Excluded Middle. From the entry LEM
  • For two vague regions, one topological relation exists between any pair of crispings.2003, Wenzhong Shi, Peter Fisher, Michael F. Goodchild, Spatial Data Quality. From the entry crisping
  • Our results suggest that the thermotransport measurements could be used for the characterization of state transition in topological insulators..2016, Zengji Yue, Qinjun Chen, Chao Zhang, Xiaolin Wang, “Thermoelectric signals of state transition in polycrystalline SmB6”, in arXiv. From the entry thermotransport
  • The goal is to establish the foundation of studying topological string amplitudes in terms of integration over appropriate supermoduli spaces..2016, Bei Jia, “Topological String Theory Revisited I: The Stage”, in arXiv. From the entry supermoduli
  • The multidifferentials are obtained via the topological recursion procedure..2016, Petr Dunin-Barkowski, Paul Norbury, Nicolas Orantin, Alexandr Popolitov, Sergey Shadrin, “Primary invariants of Hurwitz Frobenius…. From the entry multidifferentials
  • Finally, equivalently uniformisable topological spaces are considered..2015, Farshad Omidi, MohammadReza Molaei, “On U-equivalence spaces”, in arXiv. From the entry uniformisable
  • These results are then applied to the categories of contramodules over topological rings, which provide examples and counterexamples..2015, Leonid Positselski, Jiri Rosicky, “Covers, envelopes, and cotorsion theories in locally presentable abelian categories and…. From the entry contramodules
  • In order to characterise the structure and complexity of a braid different numbers or topological invariants can be calculated.2012, A. T. Skjeltorp, Tamas Vicsek, Complexity from Microscopic to Macroscopic Scales, page 144. From the entry braid
  • A differentiable manifold' is a topological space on which there are defined coordinates allowing basic notions of differentiability.2009, Jeffrey Marc Lee, Manifolds and Differential Geometry, American Mathematical Society, page 1. From the entry differentiable manifold
  • The convex hull of a compact subset of an infinite dimensional topological vector space need not be a compact set.2007, Charalambos D. Aliprantis, Kim C. Border, Infinite Dimensional Analysis: A Hitchhiker's Guide, page 185. From the entry convex hull
  • For topological recurrence we need a different notion of largeness for subsets of S, namely that of syndeticity.1988, Robert Ellis & al., ed., Topological Dynamics and Applications... American Mathematical Society, p. 211. From the entry syndeticity
  • We also study the conditions under which topological bicomplex modules and locally bicomplex convex modules become hyperbolic normable and hyperbolic metrizable respectively.2015, Romesh Kumar, Heera Saini, “Topological Bicomplex Modules”, in arXiv. From the entry normable
  • The time reversal invariant topological superconductivity is realized if the interwire pairing corresponding to crossed Andreev reflection dominates over the standard intrawire pairing.2015, Hiromi Ebisu, Bo Lu, Jelena Klinovaja, Yukio Tanaka, “Theory of time reversal topological superconductivity in double Rashba wires…. From the entry intrawire
  • We also study the conditions under which topological bicomplex modules and locally bicomplex convex modules become hyperbolic normable and hyperbolic metrizable respectively..2015, Romesh Kumar, Heera Saini, “Topological Bicomplex Modules”, in arXiv. From the entry bicomplex
  • A regular Hilberg process is a stationary process that satisfies both a power-law growth of topological entropy and a hyperlogarithmic growth of maximal repetition.2015, Łukasz Dębowski, “Regular Hilberg Processes: An Example of Processes with a Vanishing Entropy Rate”, in arXiv. From the entry hyperlogarithmic
  • Typically T is a time-parameter space and is often taken to be a more general at topological space where quantum field theory may be formulated.2006, Nobuaki Obata, White Noise Calculus and Fock Space. From the entry time parameter space
  • What constructive mathematicians know is that there are mathematical universes in which sets are like topological spaces and properties are like open sets.2005, Andrej Bauer, Mathematics and Computation: The Law of Excluded Middle. From the entry LEM
  • So holeyness is a topological property.1985 July 11, Ian Stewart, “The knots and strands of mathematical theory”, in The Guardian, page 15, column 2. From the entry holeyness
  • For instance, we can seek to describe important topological spaces by means of enough of their properties to completely characterize them, up to homeomorphism.1964, H. J. Kowalsky, translated by Jay E. Strum, Topological Spaces, Academic Press, page 165. From the entry topological space
  • Many of the topological concepts that will be defined later can be incorporated into methods of topologization in the same general way.1963, Donald Bushaw, Elements of General Topology, Wiley, page 29. From the entry topologization
  • In this way, schizocartography offers a more multidirectional approach to topological mapping that includes a subject whilst at the same time still allowing for an a-centring of the self.2019, Jamie Mcphie, Mental Health and Wellbeing in the Anthropocene. From the entry schizocartography
  • Then a topological characterization of the subclasses of extensions satisfying the further properties of full disintegrability and full strong conglomerability is given and their envelopes are studied..2016, Davide Petturiti, Barbara Vantaggi, “Envelopes of conditional probabilities extending a strategy and a prior probability”, in arXiv. From the entry disintegrability
  • In the present article we describe how to form a composite of two topological correspondences when the bispaces are Hausdorff and second countable in addition to being locally compact..2015, Rohit Dilip Holkar, “Composition of topological correspondences”, in arXiv. From the entry bispaces
  • From the definition it will be clear the group is a topological invariant of X; i.e., if two spaces are homeomorphic, their fundamental groups are isomorphic.1991, William S. Massey, A Basic Course in Algebraic Topology, Springer, page 35. From the entry fundamental group
  • Also, if X is the topological sum of finitely many dendra, then λX is a Q-manifold; in fact it is a topological sum of finitely many Hilbert cubes.1977, Mathematical Centre Tracts, page 187. From the entry dendra
  • In order to obtain "intuitive insight" into special classes of topological spaces we can proceed in several ways, only a few of which will be pursued in this chapter.1964, H. J. Kowalsky, translated by Jay E. Strum, Topological Spaces, Academic Press, page 165. From the entry topological space

Meaning of topological

  1. adjective Of or relating to topology.
  2. adjective Equipped with a topology that is typically required to be compatible with the underlying structure in some way.

Full definition of topological

Questions about topological in a sentence

How do you use topological in a sentence?
Topological is used as an adjective. For example: “Let X be a topological space with a distinguished point p.”
What is a short sentence with topological?
“So holeyness is a topological property.”
What does topological mean?
Topological means of or relating to topology.

Source and license

Adapted from Wiktionary: topological (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.

Last updated:

Cite this page: “How to use topological in a sentence.” Word.ws, https://word.ws/sentences/topological. Based on Wiktionary, CC BY-SA 4.0.