Normalization of Interior Boundaries: Normalization of interior boundaries

Authors: R. Abdulaev

Source: gmj. 11:401-407

Subject Terms: Finely holomorphic functions and topological function theory, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2114266
https://www.heldermann-verlag.de/gmj/gmj11/gmj11035.pdf?origin=publication_detail

Some Local Contour-Solid Theorems for Finely Holomorphic Functions: Some local contour-solid theorems for finely holomorphic functions

Authors: A. A. Sarana

Source: Ukrainian Mathematical Journal. 54:2038-2046

Subject Terms: Finely holomorphic functions and topological function theory, finely holomorphic function, 0101 mathematics, local contour-solid theorem, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1961301
https://doi.org/10.1023/a:1024081500428
https://link.springer.com/content/pdf/10.1023/A:1024081500428.pdf
https://link.springer.com/article/10.1023/A:1024081500428

some local contour solid theorems for finely holomorphic functions: Some local contour-solid theorems for finely holomorphic functions

Authors: A. A. Sarana

Source: Ukrainian Mathematical Journal. 54(12):2038-2046

Subject Terms: Finely holomorphic functions and topological function theory, finely holomorphic function, local contour-solid theorem

File Description: application/xml

Access URL: https://zbmath.org/1961301
https://doi.org/10.1023/a:1024081500428
https://link.springer.com/content/pdf/10.1023/A:1024081500428.pdf
https://link.springer.com/article/10.1023/A:1024081500428

The Morse Formula for Curves Which are not Locally Simple: The Morse formula for curves which are not locally simple

Authors: R. Abdulaev

Source: Georgian Mathematical Journal. 7:599-608

Subject Terms: Finely holomorphic functions and topological function theory, 0101 mathematics, Degree, winding number, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1586956
http://www.degruyter.com/view/j/gmj.2000.7.issue-4/gmj.2000.599/gmj.2000.599.xml

Contour-solid properties of finely holomorphic functions: Countor-solid properties of finely holomorphic functions

Authors: A. A. Sarana, P. M. Tamrazov

Source: Ukrainian Mathematical Journal. 50:809-821

Subject Terms: Finely holomorphic functions and topological function theory, holomorphic function, finely open sets, 0101 mathematics, 01 natural sciences, countor-solid theorems

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF02514333.pdf
https://link.springer.com/article/10.1007/BF02514333

Contour-solid properties of finely hypoharmonic functions

Authors: P. M. Tamrazov, A. A. Sarana

Source: Ukrainian Mathematical Journal. 49:1252-1264

Subject Terms: Finely holomorphic functions and topological function theory, contour-solid property, finely hypoharmonic function, complex plane, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2FBF02487550

The groups of conformal automorphisms in the Hornich metric

Authors: I. A. Volynets

Source: Siberian Mathematical Journal. 35:664-669

Subject Terms: General theory of conformal mappings, Finely holomorphic functions and topological function theory, automorphism, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF02106609.pdf
https://link.springer.com/article/10.1007/BF02106609

On connectedness of derivative sets

Authors: É. O. Alikulov

Source: Ukrainian Mathematical Journal. 45:1-7

Subject Terms: Finely holomorphic functions and topological function theory, Real-valued functions in general topology, derivative sets, Continuity and differentiation questions, partial derivative number, 0101 mathematics, 01 natural sciences, connectedness

File Description: application/xml

Access URL: https://zbmath.org/635687
https://link.springer.com/article/10.1007/BF01062031

A proof of Thurston's topological characterization of rational functions

Authors: Douady, Adrien, Hubbard, John H.

Source: Acta Math. 171, no. 2 (1993), 263-297

Subject Terms: Finely holomorphic functions and topological function theory, multi-curve, Extremal problems for conformal and quasiconformal mappings, other methods, Teichmüller space, Thurston linear transformation, orbifold, 0101 mathematics, Teichmüller theory for Riemann surfaces, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/665428
https://doi.org/10.1007/bf02392534
https://link.springer.com/article/10.1007/BF02392534
https://www.cimat.mx/~mmoreno/teaching/spring15/Thurston-TopCharact.pdf
https://link.springer.com/content/pdf/10.1007/BF02392534.pdf
http://www.cimat.mx/~mmoreno/teaching/spring15/Thurston-TopCharact.pdf
https://projecteuclid.org/download/pdf_1/euclid.acta/1485890738
https://projecteuclid.org/journals/acta-mathematica/volume-171/issue-2/A-proof-of-Thurstons-topological-characterization-of-rational-functions/10.1007/BF02392534.full
http://projecteuclid.org/euclid.acta/1485890738

On the sense preserving mappings in the Helm topology in the plane: On the sense preserving mappings in the helm topology in the plane

Authors: Pyrih, Pavel

Subject Terms: Finely holomorphic functions and topological function theory, Fine Topology, Density Topology, density topology, Fine potential theory, fine properties of sets and functions, fine topology, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1405248
https://hdl.handle.net/10525/435

Approximation of continuous functions in p-adic analysis

Authors: Ahlswede, Rudolf, Bojanic, R.

Source: Journal of Approximation Theory. 15:190-205

Subject Terms: Finely holomorphic functions and topological function theory, Mathematics(all), Numerical Analysis, Approximation by polynomials, Applied Mathematics, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Analysis, Algebraic number theory: local fields

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/3501650
https://doi.org/10.1016/0021-9045(75)90101-x
https://pub.uni-bielefeld.de/record/1775089
https://www.sciencedirect.com/science/article/abs/pii/002190457590101X
https://www.sciencedirect.com/science/article/pii/002190457590101X
https://pub.uni-bielefeld.de/record/1775089
https://doi.org/10.1016/0021-9045(75)90101-x

A Covering Theorem for continuous Locally Univalent Maps of the Plane: A covering theorem for continuous locally univalent maps of the plane

Authors: Marvin Ortel, Wayne Smith

Source: Bulletin of the London Mathematical Society. 18:359-363

Subject Terms: Finely holomorphic functions and topological function theory, 0101 mathematics, 01 natural sciences, univalent

File Description: application/xml

Access URL: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms/18.4.359

On the trajectories of a quadratic differential,I: On the trajectories of a quadratic differential. I

Authors: Kaplan, Wilfred

Source: Commentarii Mathematici Helvetici. 53:57-72

Subject Terms: trajectories of quadratic differentials, topological classification of trajectory families, Finely holomorphic functions and topological function theory, 510.mathematics, Differentials on Riemann surfaces, 0101 mathematics, 01 natural sciences, Article

File Description: application/xml; image/jpeg; application/pdf

Access URL: https://zbmath.org/3593891
https://doi.org/10.1007/bf02566065
https://zbmath.org/3680176
https://doi.org/10.1002/mana.19790930122
https://link.springer.com/article/10.1007/BF02566065

Some Topological Theorems Relating to Close-to-Convex Functions: Some topological theorems relating to close-to-convex functions

Authors: J. R. Quine

Source: Journal of the London Mathematical Society. :39-42

Subject Terms: Embeddings in differential topology, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Finely holomorphic functions and topological function theory, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s2-14.1.39

Continua in the plane with limit directions

Authors: Campbell, Douglas Michael, Lamoreaux, Jack

Source: Pacific J. Math. 74, no. 1 (1978), 37-46

Subject Terms: Generalities in topology, topological function theory, Finely holomorphic functions and topological function theory, 54F15, limit directions, dini derivative, Extremal problems for conformal and quasiconformal mappings, variational methods, variational methods, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, extremal problems for conformal and quasiconformal mappings, 0101 mathematics, exceptional points, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: http://msp.org/pjm/1978/74-1/pjm-v74-n1-p04-s.pdf
https://zbmath.org/3613403
https://doi.org/10.2140/pjm.1978.74.37
https://msp.org/pjm/1978/74-1/p04.xhtml
http://projecteuclid.org/euclid.pjm/1102810433
https://msp.org/pjm/1978/74-1/pjm-v74-n1-p04-s.pdf
https://projecteuclid.org/euclid.pjm/1102810433
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102810433
http://projecteuclid.org/euclid.pjm/1102810433

An algorithm for winding numbers for closed polygonal paths

Authors: Kenneth O. Leland

Source: Mathematics of Computation. 29:554-558

Subject Terms: Finely holomorphic functions and topological function theory, General theory of numerical methods in complex analysis (potential theory, etc.), 4. Education, 0103 physical sciences, Software, source code, etc. for problems pertaining to functions of a complex variable, 0101 mathematics, Algorithms in computer science, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/mcom/1975-29-130/S0025-5718-1975-0373246-2/S0025-5718-1975-0373246-2.pdf
https://www.ams.org/mcom/1975-29-130/S0025-5718-1975-0373246-2/S0025-5718-1975-0373246-2.pdf
https://www.ams.org/journals/mcom/1975-29-130/S0025-5718-1975-0373246-2/home.html

Limit sets of mappings and a nonmetrizable compactification of metric spaces

Authors: G. D. Suvorov, A. I. Gol'dshmidt

Source: Siberian Mathematical Journal. 17:45-58

Subject Terms: Extensions of spaces (compactifications, supercompactifications, completions, etc.), Finely holomorphic functions and topological function theory, Metric spaces, metrizability, Topological spaces with richer structures, 0102 computer and information sciences, Cluster sets, prime ends, boundary behavior, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF00969290

Local Homeomorphisms of the Disc: Local homeomorphisms of the disc

Authors: Marvin Ortel, T. K. Carne, Wayne Smith

Source: Bulletin of the London Mathematical Society. 19:438-442

Subject Terms: Finely holomorphic functions and topological function theory, covering surfaces, 0101 mathematics, local homeomorphism, 01 natural sciences, Covering theorems in conformal mapping theory, multivalent mappings

File Description: application/xml

Access URL: https://academic.oup.com/blms/article/19/5/438/395359
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms/19.5.438

Covering theorems for meromorphic functions

Authors: Uri Srebro

Source: Journal d'Analyse Mathématique. 44:235-250

Subject Terms: Finely holomorphic functions and topological function theory, p-valent functions, ramified coverings, General theory of univalent and multivalent functions of one complex variable, open functions, 0101 mathematics, 01 natural sciences, cluster sets

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2FBF02790199
https://link.springer.com/content/pdf/10.1007/BF02790199.pdf

POTENTIALS AND CORRESPONDENCE OF BOUNDARIES: Potentials and correspondence of boundaries

Authors: B P Kufarev

Source: Mathematics of the USSR-Izvestiya. 11:417-439

Subject Terms: Finely holomorphic functions and topological function theory, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Cluster sets, prime ends, boundary behavior, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3588956
https://doi.org/10.1070/im1977v011n02abeh001729
http://stacks.iop.org/0025-5726/11/i=2/a=A12?key=crossref.1ad4c799ae6729705e58c86a0a14d2a7
http://iopscience.iop.org/article/10.1070/IM1977v011n02ABEH001729/pdf
http://ui.adsabs.harvard.edu/abs/1977IzMat..11..417K/abstract
https://iopscience.iop.org/article/10.1070/IM1977v011n02ABEH001729/pdf