Esenin-Volpin's theorem

In mathematics, Esenin-Volpin's theorem states that weight of an infinite compact dyadic space is the supremum of the weights of its points. It was introduced by Alexander Esenin-Volpin (1949). It was generalized by (Efimov 1965) and (Turzański 1992).

References

• Efimov, B. A. (1965), "Dyadic bicompacta" (in Russian), Trudy Moskov. Mat. Obšč. 14: 211–247 
• Esenin-Volpin, A. S. (1949), "On the relation between the local and integral weight in dyadic bicompacta" (in Russian), Doklady Akademii Nauk SSSR, New Series 68: 441–444 
• Turzański, Marian (1992), "Strong sequences, binary families and Esenin-Volpin's theorem", Comment.Math.Univ.Carolinae 33 (3): 563–569, https://eudml.org/doc/247365