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  • Best Proximity Point Theorem in Quasi-Pseudometric Spaces 

    Plebaniak, Robert (Hindawi, 2016)
    In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ...
  • Wykładnik Łojasiewicza zbiorów i odwzorowań semialgebraicznych 

    Szlachcińska, Anna (2018)
    W rozprawie doktorskiej podajemy efektywne oszacowanie z góry lokalnego wykładnika Łojasiewicza dla separacji regularnej zbiorów semialgebraicznych oraz dla odwzorowań semialgebraicznych na domkniętych zbiorach semialgebraicznych. ...
  • The Cauchy-Kowalevski Theorem 

    Osińska-Ulrych, Beata; Skalski, Grzegorz (Łódź University Press, 2017)
    We give a recursive description of polynomials with non-negative rational coefficients, which are coefficients of expansion in a power series solutions of partial differential equations in Cauchy-Kowalevski theorem.
  • Łojasiewicz exponent of overdetermined semialgebraic mappings 

    Spodzieja, Stanisław; Szlachcińska, Anna (Łódź University Press, 2017)
    We prove that both local and global Łojasiewicz exponent of a continuous overdetermined semialgebraic mapping F : X → Rᵐ on a closed semialgebraic set X ⊂ Rⁿ (i.e. m > dimX) are equal to the Łojasiewicz exponent of the ...
  • Bézout’s inequality for real polynomials 

    Płoski, Arkadiusz; Sękalski, Maciej (Łódź University Press, 2017)
    Let F(X, Y ), G(X, Y ) be polynomials of degrees m, n > 0 respectively. We prove, that the set {(x, y) Є R² : F(x, y) = G(x, y) = 0} has at most mn connected components.
  • Formal and convergent solutions of analytic equations 

    Płoski, Arkadiusz (Łódź University Press, 2017)
    We provide the detailed proof of a sharpened version of the M. Artin Approximation Theorem.
  • Divergence-free polynomial derivations 

    Nowicki, Andrzej (Łódź University Press, 2017)
    In this paper we present some new and old properties of divergences and divergence-free derivations.
  • Rational constants of cyclotomic derivations 

    Moulin Ollagnier, Jean; Nowicki, Andrzej (Łódź University Press, 2017)
  • Rationality of semialgebraic functions 

    Kucharz, Wojciech; Kurdyka, Krzysztof (Łódź University Press, 2017)
    Let X be an algebraic subset of Rⁿ, and ƒ: X → R a semialgebraic function. We prove that if ƒ is continuous rational on each curve C ⊂ X then: 1) ƒ is arc-analytic, 2) ƒ is continuous rational on X. As a consequence we ...
  • A note on square-free factorizations 

    Jędrzejewicz, Piotr; Matysiak, Łukasz; Zieliński, Janusz (Łódź University Press, 2017)
    We analyze properties of various square-free factorizations in greatest common divisor domains (GCD-domains) and domains satisfying the ascending chain condition for principal ideals (ACCP-domains).
  • Vector bundles and blowups 

    Jelonek, Zbigniew; Kucharz, Wojciech; Kurdyka, Krzysztof (Łódź University Press, 2017)
    Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension ...
  • The Łojasiewicz exponent via the valuative Hamburger-Noether process 

    Brzostowski, Szymon; Rodak, Tomasz (Łódź University Press, 2017)
    Let k be an algebraically closed field of any characteristic. We apply the Hamburger-Noether process of successive quadratic transformations to show the equivalence of two definitions of the Łojasiewicz exponent £ (a) of ...
  • On a generic symmetry defect hypersurface 

    Janeczko, Stanisław; Jelonek, Zbigniew; Soares Ruas, Maria Aparecida (Łódź University Press, 2017)
    We show that symmetry defect hypersurfaces for two generic members of the irreducible algebraic family of n-dimensional smooth irreducible subvarieties in general position in C²ⁿ are homeomorphic and they have homeomorphic ...
  • A short proof that equisingular plane curve singularities are topologically equivalent 

    Brzostowski, Szymon; Krasiński, Tadeusz; Walewska, Justyna (Łódź University Press, 2017)
    We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P. Fortuny Ayuso’s who proved this result for irreducible plane curve singularities.
  • Wielomiany i szeregi potęgowe 

    Abhyankar, Shreeram S. (Łódź University Press, 2017)
  • Wielomiany i szeregi potęgowe 

    Abhyankar, Shreeram S. (Łódź University Press, 2017)
  • Polynomials and power series 

    Abhyankar, Shreeram S. (Łódź University Press, 2017)
  • Note about Shreeram Shankar Abhyankar (1930–2012) 

    Krasiński, Tadeusz; Spodzieja, Stanisław (Łódź University Press, 2017)
  • Krzysztof Kurdyka – Scientific biography 

    Krasiński, Tadeusz; Spodzieja, Stanisław (Łódź University Press, 2017)
  • Kamil Rusek – Scientific biography 

    Krasiński, Tadeusz; Spodzieja, Stanisław (Łódź University Press, 2017)

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