Singapore Index Fund(s)

There are three ETFs that trade on the Singapore Exchange that trade the Singapore stocks:

db x-trackers MSCI Singapore IM Index UCITS ETF https://etf.deutscheawm.com/SGP/ENG/Download/Factsheet/LU0659578842/O9A/MSCI-Singapore-IM-Index-UCITS-ETF-(DR)/Retail (This tracks the MSCI SIngapore Investable Market Total Return Net Index)

Nikko AM Singapore STI ETF: https://www.nikkoam.com.sg/etf/sti (This tracks the Straits Times Index)

SPDR STI ETF https://www.ssga.com/sg/en/institutional/etfs/funds/spdr-straits-times-index-etf-es3 (This also tracks the Straits Times Index)

You can see the entire set of ETFs that trade on SGX here: https://www.sgx.com/securities/securities-prices?code=etfs (although their descriptions are woefully truncated)

SGX have a screener here that allows you to find different ETFs: https://www.sgx.com/securities/etf-screener

There are no sector ETFs. SGX is a relatively small market.