The best replacement for hashset is hashmap.

The best alternatives to hashset are rated as following:
★★★★★  hashmap
★★★★  arraylist
★★★  hashtable
★★★  treeset
★★  dictionary
★  set
★  hashtable c#
★  linkedhashset
★  sortedset
★  list java
★  list c#
★  hashmap in java
★  linkedhashset performance
  set c#
  hashtable c
  treeset java

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hashset
hashmap
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