Pure metric geometry: introductory lectures

‘‘Alexandrov geometry: foundations’’, 2022

Original

S. Alexander, V. Kapovitch and A. Petrunin · 1903

Earlier work this paper cites.

‘‘Sur quelques points du calcul fonctionnel’’

M. Fréchet · 1906

Earlier work this paper cites.

‘‘Linear bounds for constants in Gromov’s systolic inequality and related results’’, 2019

Original

A. Nabutovsky · 1909

Earlier work this paper cites.

‘‘Grundzüge der Mengenlehre’’, 1914

F. Hausdorff · 1914

Earlier work this paper cites.

‘‘Kreis und Kugel’’, 1916

W. Blaschke · 1916

Earlier work this paper cites.

‘‘Sur un espace métrique universel’’

P. Urysohn · 1927

Earlier work this paper cites.

‘‘Untersuchungen über allgemeine Metrik’’

K. Menger · 1928

Earlier work this paper cites.

‘‘Quelques problèmes concernant les espaces métriques non-séparables’’

C. Kuratowski · 1935

Earlier work this paper cites.

‘‘Metric methods in Finsler spaces and in the foundations of geometry’’, Annals of Mathematics Studies, No. 8, 1942

H. Busemann · 1942

Earlier work this paper cites.

‘‘Metric foundations of geometry. I’’

G. Birkhoff · 1944

Earlier work this paper cites.

‘‘A homogeneous indecomposable plane continuum’’

R.. Bing · 1948

Earlier work this paper cites.

‘‘Sur certaines classes d’espaces homogènes de groupes de Lie’’

J. Tits · 1955

Earlier work this paper cites.

‘‘Extension of uniformly continuous transformations and hyperconvex metric spaces’’

N. Aronszajn and P. Panitchpakdi · 1956

Earlier work this paper cites.

‘‘Homogeneity problems in the theory of Čech compactifications’’

W. Rudin · 1956

Earlier work this paper cites.

‘‘Concerning topological convergence of sets’’

Z. Frolík · 1960

Earlier work this paper cites.

‘‘The rendezvous value of metric space’’

O. Gross · 1964

Earlier work this paper cites.

‘‘Six theorems about injective metric spaces’’

J.. Isbell · 1964

Earlier work this paper cites.

‘‘Injective envelopes of Banach spaces are rigidly attached’’

J.. Isbell · 1964

Earlier work this paper cites.

‘‘Convergence of sequences of convex sets, cones and functions. II’’

R.. Wijsman · 1966

Earlier work this paper cites.

‘‘Geometric measure theory’’, Die Grundlehren der mathematischen Wissenschaften, Band 153, 1969

H. Federer · 1969

Cited alongside, same era.

‘‘Четвертая проблема Гильберта’’, 1974

А.В. Погорелов · 1974

Cited alongside, same era.

‘‘Local contractions in metric spaces’’

T. Hu and W.. Kirk · 1978

Cited alongside, same era.

‘‘Hyperbolic manifolds, groups and actions’’

M. Gromov · 1981

Cited alongside, same era.

‘‘On universal metric spaces’’

M. Katětov · 1988

Cited alongside, same era.

‘‘Continuity properties of selectors and Michael’s theorem’’

K. Przesławski and D. Yost · 1989

Cited alongside, same era.

‘‘The random graph’’

P. Cameron · 1997

‘‘Metric geometry on manifolds: two lectures’’, 2020

A. Petrunin · 2010

Later among the works it cites.

‘‘Maps preserving measures’’, 2011

R.. Solovay · 2011

Later among the works it cites.

‘‘What is differential geometry: curves and surfaces’’, 2020

Original

A. Petrunin and S. Zamora · 2012

Later among the works it cites.

‘‘Injective hulls of certain discrete metric spaces and groups’’

U. Lang · 2013

Later among the works it cites.

‘‘Metric stability of trees and tight spans’’

U. Lang, M. Pavón and R. Züst · 2013

Later among the works it cites.

‘‘Equidimensional isometric maps’’

B. Kirchheim, E. Spadaro and L. Székelyhidi · 2015

Later among the works it cites.