“Esenin-Volpin's theorem”的意思、由来-开放百科全书

词条

Esenin-Volpin's theorem

释义

References

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 {{harvs|txt|authorlink=Alexander Esenin-Volpin|first= Alexander|last= Esenin-Volpin|year=1949}}. It was generalized by {{harv|Efimov|1965}} and {{harv|Turzański|1992}}.

References

{{citation|mr=0202105

|last=Efimov|first= B. A.
|title=Dyadic bicompacta|language=Russian
|journal=Trudy Moskov. Mat. Obšč. |volume=14 |year=1965|pages= 211–247}}

{{citation|mr=0031029 | zbl=0033.02203

|last=Esenin-Volpin|first= A. S.
|title=On the relation between the local and integral weight in dyadic bicompacta|language=Russian
|journal=Doklady Akademii Nauk SSSR (N.S.) |volume=68|year=1949|pages= 441–444}}

{{citation|title= Strong sequences, binary families and Esenin-Volpin's theorem|journal=Comment.Math.Univ.Carolinae |volume=33|issue=3 |year=1992|pages= 563–569|mr=1209298 | zbl=0796.54031

| url=https://eudml.org/doc/247365 |last=Turzański|first= Marian}}{{DEFAULTSORT:Esenin-Volpin's theorem}}

2 : General topology|Theorems in topology

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